Open-Ended Application Problems Chapter Questions
1. List one strategy for solving a problem.
2. How would you define a consecutive integer?
3. What is the formula for perimeter, area of a rectangle, area of a triangle?
4. What relationship will help when solving percent problems?
5. List an example of a mixture type of problem.
6. What must be true of an object in uniform motion?
7. What is work rate?
8. What type of angles measure up to 90 degrees?
NJ Center for Teaching and Learning
www.njctl.org
Open-Ended Application Problem Chapter Problems
Number Problems
Classwork
1) List three consecutive integers.
2) List four consecutive odd integers.
3) One number is 5 greater than another. If the lesser number is added to two times the greater number,
the sum is 40. Find the numbers.
4) One number is 7 less than another. If the greater number is subtracted from three times the lesser
number, the difference is 163. Find the greater number.
5) Find the largest of three consecutive even integers whose sum is 24.
6) Find two consecutive integers whose sum is 61.
7) The lengths of the sides of a triangle are consecutive integers. The perimeter is 36 meters. Find the
length of the largest side.
8) The lengths of the sides of a triangle are consecutive odd integers. The perimeter is 81 meters. Find
the length of all the sides.
9) Johnny has 7 less than three times as many pizza deliveries as when he started his route. If he
currently has 56 stops, how many did he start with?
10)
There are 68 marbles in a jar that contains only blue and red marbles. The number of blue
marbles is 4 less than 5 times the number of red marbles. How many red marbles are in the jar?
Homework
11) List five consecutive integers.
12) List four consecutive even integers.
13) One number is 35 less than another number. If the greater number is added to four times the
lesser number, the sum is 100. Find the numbers.
14) One number is 8 more than another. If the greater number is added to five times the lesser
number, their sum is 44. Find the greater number.
15) Find the smallest of three consecutive even integers whose sum is 99.
NJ Center for Teaching and Learning
www.njctl.org
16) Find two consecutive even integers whose sum is 442.
17) The lengths of the sides of a triangle are consecutive integers. The perimeter is 15 meters. Find
the length of the largest side.
18) The lengths of the sides of a triangle are consecutive even integers. The perimeter is 42 meters.
Find the length of all the sides.
19) Mary has 3 more than three times as many shopping bags as when she started shopping at the
mall hours ago. If she currently has 21 bags, how many did she start with?
20) There are 300 marbles in a jar that contains only blue and red marbles. The number of blue
marbles is 20 less than 4 times the number of red marbles. How many red marbles are in the jar?
Age Problems
Classwork
Complete the table for each:
21) Joanna is 5 years older than her cat. Next year she will be three times as old as her cat will be.
How old is her cat?
22) Eric is now ten years older than his niece Michelle. In five years, Eric will be four times Michelle’s
present age. Find the age that Eric will be in five years.
NJ Center for Teaching and Learning
www.njctl.org
23) In four years, Billy will be twice the age of Diana. If he is now seven years older than her, what is the
age of each person now?
Write an Open Sentence for the following:
24) Tina is twice as old as Shelly. The sum of their ages is 65. How old is Tina?
25) Shelly is four times as young as Martha. The sum of their ages is 99. How old is Martha?
26) The daughter is 30 years younger than her mother. The sum of their ages is 72. How old is mom?
Solve:
27) Ricky’s age is nine years greater than twice Bobby’s age. If the sum of their ages is 21, how old are the
boys?
28) Julie’s age is 15 years less than three times Frank’s age. If the sum of their ages is 5, how old is
Frank?
29) There are three brothers in a store. Each brother is two years older than the next. The oldest brother is
twice as old as the youngest brother. What is the age of the brothers?
30) There are five sisters at home. Each sister is three years older than the next. The oldest sister is four
times the age of the youngest sister. What is the age of the oldest sister?
Homework
Complete the table for each:
31) Linda is 6 years older than her hamster. Next year she will be 4 times as old as the hamster. How old
is Linda?
NJ Center for Teaching and Learning
www.njctl.org
32) John is now twelve years older than his brother Timmy. In two years, John will be five times Timmy’s
age. Find the age Timmy will be in two years.
33) In three years, Jenna will be two times the age of Hannah. If Jenna is now seven years older than
Hannah, how old will they both be?
Write an Open Sentence for the following:
34) Bobby is three times as old as Kelly. The sum of their ages is 46. How old is Bobby?
35) Lisa is three times as young as Jackie. The sum of their ages is 110. How old is Jackie?
36) The son is three times younger than his father. The sum of their ages is 40. How old is the son?
Solve:
37) Tammy’s age is seven years greater than four times Jordan’s age. If the sum of their ages is 57, how
old are the girls?
38) Lauren’s age is 11 years more than four times Robert’s age. If the difference of the smaller age from
the larger age is 26, how old is Lauren?
39) There are four brothers in a store. Each brother is two years older than the next. The youngest brother
is three times as young as the oldest brother. What is the age of the brothers?
40) There are five sisters at home. Each sister is one year older than the next. The oldest sister is five
times the age of the youngest sister. What is the age of the third youngest sister?
NJ Center for Teaching and Learning
www.njctl.org
Geometry Problems
Classwork
41) What is the perimeter of a square with one side length of 4?
42) What is the perimeter of a triangle with side lengths of 5,7, and 9?
43) What is the area of a rectangle with side lengths of 4 and 8?
44) What is the area of a triangle with a base of 4 and a height of 8?
45) A square has its side tripled in length. How much does the area of the square increase?
46) The length of a pool is two more feet than twice the width. The area of the pool is 36 feet. What is the
length of the garden in terms of width?
47) A kitchen floor’s length is 4 feet less than five times its width. The area of the kitchen is 100 feet. What
is the length of the kitchen in terms of the width?
48) The measure of the perimeter of a square is 16a + 40b. What is the measure of the area of the
square?
Find the area of the white region below (not green):
49)
x+8
6x
x+2
3x
50)
13x
2x
NJ Center for Teaching and Learning
www.njctl.org
Homework
51) What is the perimeter of a square with one side length of 7?
52) What is the perimeter of a triangle with side lengths of 8, 9 and 10?
53) What is the area of a rectangle with side lengths of 10 and 12?
54) What is the area of a triangle with a base of 10 and a height of 12?
55) A square has its side quadrupled in length. How much does the area of the square increase?
56) The length of a pool is four more feet than three times the width. The area of the pool is 56 feet. What
is the length of the garden in terms of width?
57) A kitchen floor’s length is 8 feet less than five times its width. The area of the kitchen is 69 feet. What is
the length of the kitchen in terms of width?
58) The measure of the perimeter of a square is 4a + 28b. What is the measure of the area of the square?
Find the area of the white region below (not green):
59)
x+6
x+3
12x
8x
60)
x+9
3x2
4x
x
NJ Center for Teaching and Learning
www.njctl.org
Percent Problems
Classwork
61) A shirt is on the rack for $27.00. There is a 15% discount that day in the store. What amount of money
will come off of the original price?
62) A dress is on sale for $60.00 after a 50% discount is taken off. What is the regular price of the dress?
63) A new bike is $175.00 in the store. There is a 7% tax in the store. How much will you pay for the bike?
64) The bill at the restaurant is $46. You want to leave a 30% tip. How much will you leave for the tip?
65) The first store has a TV for $1100 on sale 30% off. A second store has the same TV for $1100 on sale
for 10% with an additional 20% with your coupon you have. Which store has the better deal?
66) A DVD movie price increases from $15.00 to $24.00. What is the percent of increase?
67) How much is the percent of change when the original price of a bathing suit is $300 and the new price
is $50?
68) How much will simple interest be if the Johnson’s invest $30,000 at 5% interest rate for 6 years?
69) The Smiths paid $15,000 in closing costs when buying their first new home. If this amount represents
7% of the purchase price, how much did they pay for their home?
70) Karin invested part of $9,000 in one bank account that pays 5% simple annual interest and the rest in
an account that pays 9% simple annual interest. How much money is invested in each account if the
total annual income is $600?
Homework
71) A skirt is on the rack for $48.00. There is a 43% discount that day in the store. What amount of money
will come off of the original price?
72) A suit is on sale for $67.72 after a 50% discount is taken off. What is the regular price of the suit?
73) A new grill is $175.50 in the store. There is a 7.75% tax in the store. How much will you pay for the
grill?
74) The bill at the restaurant is $25.00. You want to leave a 15% tip. How much will you leave for the tip?
75) The first store has a computer for $2100 on sale 30% off. A second store has the same computer for
$2100 on sale for 10% with an additional 40% with your coupon you have. Which store has the better
deal?
NJ Center for Teaching and Learning
www.njctl.org
76) An iTunes movie price increases from $10.00 to $14.00. What is the percent of increase?
77) How much is the percent of change when the original price of a dress is $200 and the new price is
$50?
78) How much will simple interest be if the Linders invest $30,000 at 9% interest rate for 4 years?
79) The Farleys paid $10,000 in closing costs when buying their first new home. If this amount represents
5% of the purchase price, how much did they pay for their home?
80) Thomas invested part of $10,000 in one bank account that pays 5% simple annual interest and part in
an account that pays 9% simple annual interest. How much money is invested in each account if the
total annual income is $625?
Mixture Problems
Classwork
Set Up the following problems in the table:
81) Andrew bought some apples worth $0.98 and some bananas worth $0.57. He bought 24 fruit items in
total and paid $15.00 for them. How many apples and bananas did he buy?
82) Phil was conducting an experiment with a 30L solution that was 12% salt. How much water must be
added to make it a 5% salt solution?
Solve:
83) Alexis was conducting an experiment with a 24L solution that was 15% salt. How much water must be
added to make it a 7% salt solution?
NJ Center for Teaching and Learning
www.njctl.org
84) A ticket booth sold 226 tickets and collected $843 in ticket sales. Adult tickets are $5.50 and child
tickets are $1.50. How many tickets for adults were sold?
85) A 12L solution is 50% oil. How much water must be added to produce a solution that is 45% oil?
86) Madison has three times as many dimes as pennies in her piggy bank. If the dimes and pennies total
$8.37, how many pennies does she have?
87) The register at the grocery store has 15 bills in $5 and $10 denominations. The value of the money in
the register is $100. How many $10 bills are in the register?
88) How many gallons of a 3% salt solution must be mixed with 50 gallons of a 7% solution to obtain a 5%
solution?
89) A 50 ml after-shave lotion at 30% alcohol is mixed with 30 ml of pure water. What is the percentage of
alcohol in the new solution?
90) How many pounds of chocolate worth $1.20 a pound must be mixed with 10 pounds of chocolate worth
90 cents a pound to produce a mixture worth $1.00 a pound?
Homework
Set Up the following problems in the table:
91) Susan bought some peanuts worth $0.64 and some cashews worth $0.32. He bought 26 nuts in total
and paid $14.40 for them. How many peanuts did he buy?
92) Tiffany was conducting an experiment with a 44L solution that was 13% salt. How much water must be
added to make it a 2% salt solution?
NJ Center for Teaching and Learning
www.njctl.org
Solve:
93) Alexa was conducting an experiment with a 48L solution that was 22% salt. How much water must be
added to make it a 15% salt solution?
94) How many pounds of chocolate worth $4.50 a pound must be mixed with 10 pounds of chocolate worth
$3.90 a pound to produce a mixture worth $4.00 a pound?
95) How many gallons of a 4% salt solution must be mixed with 20 gallons of a 10% solution to obtain a
7% solution?
96) Margaret has 3 more than 2 times as many dimes as pennies in her piggy bank. If the dimes and
pennies total $0.75, how many pennies does she have?
97) Five hundred tickets were sold for a certain music concert. The tickets for the adults and children sold
for $7.50 and $4.00, respectively, and the total receipts for the performance were $3,312.50. How
many child tickets were sold?
98) How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make
a 30% solution?
99) Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver
alloy to obtain a 500g of a 91% Silver alloy?
100)
How many Kilograms of Pure water is to be added to 100 Kilograms of a 30% saline solution to
make it a 10% saline solution.
Uniform Motion Problems
Classwork
101)
Two airplanes leave from the same airport at the same time traveling to Hawaii. The
faster plane arrives in 5 hours. The slower plane arrives in 15 hours. The slower plane travels at an
average speed that is 25km/h slower than the faster plane. What is the average speed of the faster
plane?
102)
Ariel and Sam are 545 meters apart. Ariel walks towards Sam at a rate of 1.7 m/s and
Sam starts running towards Ariel. What is Sam’s rate of travel is she reaches Ariel in 2 minutes?
103)
Fred is a member of the swim team at school. On Tuesday he swam towards the far side
of the pool at a rate of 4.6 m/min and on the return back he swam at a rate of 3.4 m/min. If he took 7
minutes to swim the entire distance, how long is the pool?
104)
Sarah made the trip in 10 hours, but it only took Alice 8 hours to make the same trip. Find
Sarah’s rate of speed if Alice's rate was 3 mph more than Sarah's rate.
NJ Center for Teaching and Learning
www.njctl.org
105)
The bus made the trip in 6 hours, but the train took only 4 hours for the same trip. Find
the rate of the bus if the train's rate of speed is 25 mph more than the bus' rate.
106)
A car and a bus set out at 2 p.m. from the same point, headed in the same direction. The
average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20
miles ahead of the bus. Find the rate of the car.
107)
Two trains start from the same station and run in opposite directions. One runs at an
average rate of 40 miles per hour, and the other at 65 miles per hour. In how many hours will they be
315 miles apart?
108)
Mr. Williams starts out in his auto traveling 30 miles per hour. Four hours later Mr.
Speedster starts out from the same point at 60 miles per hour to overtake Mr. Williams. In how many
hours will he be overtaken?
109)
A pilot flew to Newark and back. The average speed going was 320 mph. The average
speed returning was 480 mph. Find the distance to Newark if the total flying time was 5h.
110)
A car and a bus set out at 3 p.m. from the same point headed in the same direction. The
average speed of the car is twice the average speed of the bus. In 2 h, the car is 68 mi ahead of the
bus. Find the rate of the car.
Homework
111)
Two sail boats leave from the same port at the same time traveling to Jamaica. The
faster boat arrives in 4 hours. The slower boat arrives in 6 hours. The slower boat travels at an average
speed that is 2km/h slower than the faster boat. What is the average speed of the faster boat?
112)
Miriam and Doug are 700 meters apart. Doug walks towards Miriam at a rate of 3.4 m/s
and Miriam starts running towards Doug. What is Miriam's rate of travel if she reaches Doug in 1.4
minutes?
113)
Francine is a member of the track team at school. On Thursday he ran towards the far
side of the track at a rate of 3.5 m/hr and on the return back he ran at a rate of 5 m/hr. If he took 10
minutes to run the entire distance, how long is the track?
114)
Shannon made the trip in 20 hours, but it only took Alicia 16 hours to make the same trip.
Find Alicia’s rate if her rate was 6 mph more than Shannon's rate.
115)
The bus made the trip in 8 hours, but the train took only 3 hours for the same trip. Find
the rate of the bus if the train's rate of speed is 35 mph more than the bus' rate.
116)
A car and a bus set out at 5 p.m. from the same point, headed in the same direction. The
average speed of the car is 40 mph slower than twice the speed of the bus. In three hours, the bus is
10 miles ahead of the car. Find the rate of the car.
NJ Center for Teaching and Learning
www.njctl.org
117)
Two trains start from the same station and run in opposite directions. One runs at an
average rate of 50 miles per hour, and the other at 70 miles per hour. In how many hours will they be
200 miles apart?
118)
Mr. Sanford starts out in his truck traveling 40 miles per hour. Three hours later Mr.
Shocker starts out from the same point at 65 miles per hour to overtake Mr. Williams. In how many
hours will he be overtaken?
119)
A pilot flew to New York and back. The average speed going was 450 mph. The average
speed returning was 380 mph. Find the distance to New York if the total flying time was 4h.
120)
A van and a truck set out at 1 p.m. from the same point headed in the same direction.
The average speed of the van is twice the average speed of the truck. In 3 hours, the van is 105 mi
ahead of the truck. Find the rate of the truck.
Work Problems
Classwork
121)
Max can paint a room in 3 hours. Matt can paint the same room in 2 hours. How long
would it take them to paint the room if they worked together?
122)
Julia can paint a room in 7 hours. Agatha can paint the same room in a different amount
of time. If together they paint the room in 4 hours, how fast can Agatha paint a room?
123)
Katie can make a cake in 2 hours. Amanda can make a cake in 4 hours. How long would
it take to make a cake if both of the girls worked together?
124)
Nicole can wash her car in 20 minutes. Anna can wash her car in 1 hour. If they worked
together to wash the same car, how long would it take them to wash it?
125)
Meghan can clean her room in a certain amount of time. Molly can clean her room in 3
hours. If it takes Meghan and Molly 2 hours to clean their room, in how much time could it take Meghan
to clean the room by herself?
126)
Langston and Roger can write a song together in 4 hours. Alone, it takes Langston 6
hours to write one. How long does it take Roger to write a song by himself?
127)
Mom can sew a button back on in 5 minutes. Aunt Miriam can sew a button on in 15
minutes. How long would it take mom and Aunt Miriam to sew on one button together? Is it faster than
just mom sewing on the button?
128)
It takes five hours for a hose to fill up a swimming pool. It takes 2 hours for a newer hose
to fill up the same swimming pool. How long would it take to fill the pool if both hoses were being used?
NJ Center for Teaching and Learning
www.njctl.org
129)
Maid Maria can clean a hotel room in 30 minutes while maid Rachel can clean a hotel
room in 50 minutes. If both maids are cleaning the same hotel room at the same time, how long would
it take for the room to get clean?
130)
Isabella takes 2 hours to pick apples. Ronnie takes 30 minutes to pick apples. How long
would it take both of them to pick apples together?
Homework
131)
Minnie can paint a room in 4 hours. Mickey can paint the same room in 7 hours. How
long would it take them to paint the room if they worked together?
132)
Gianna can paint a room in 8 hours. Aretha can paint the same room in a different
amount of time. If together they paint the room in 5 hours, how fast can Agatha paint a room?
133)
My sister can make cookies in 3 hours. My brother can make them in 4 hours. How long
would it take to make cookies if they both worked together?
134)
Elvis can wash his car in a half an hour. Marilyn can wash her car in one and a half
hours. If they worked together to wash the same car, how long would it take them to wash it?
135)
Harry can clean his desk in a certain amount of time. Harmony can clean her desk in 30
minutes. If it take Harry and Harmony 10 minutes to clean their desks, in how much time could it take
Meghan to clean the desk by herself?
136)
Maureen and David can write a story together in 8 days. Alone, it takes Maureen 9 days
to write one. How long does it take David to write a story by himself?
137)
Sara can knit a scarf in 45 minutes. Katherine can knit a scarf in 1 hour. How long would
it take Sara and Katherine to knit one scarf together. Is it faster than just Sara knitting one?
138)
It takes six hours for a hose to fill up a swimming pool. It takes 3 hours for a newer hose
to fill up the same swimming pool. How long would it take to fill the pool if both hoses were being used?
139)
Maid Delia can clean a hotel in 30 hours while maid Lori can clean a hotel in 50 hours. If
both maids are cleaning the same hotel at the same time, how long would it take for the whole hotel to
get clean?
140)
Isabella takes 2 hours to pick oranges. Ronnie takes 1.5 hours to pick oranges. How long
would it take both of them to pick oranges together?
Proportionality Problems
Classwork
141)
Mr. Thompson bought 15 pounds of cement to cover his walkway with an area of 100
square feet. At this rate, how much cement would he need to cover 1000 square feet?
NJ Center for Teaching and Learning
www.njctl.org
142)
The measure of two complimentary angles are in the ratio 4:5. Find the measure of each
angle in degrees.
143)
The measure of two supplementary angles are in the ratio 6:9. Find the measure of each
angle in degrees.
A high school has 5000 students, where 5 out of 8 students said that they don’t want
recess. How many students do want recess.
144)
145)
A 5 pound cake recipe calls for 3 eggs. At this rate, how many eggs will be needed for a
10 pound cake?
146)
The scale on a treasure map is 2 inches to 7 miles. If the road to the treasure is 6 inches
on the map, how long is the road in real life?
147)
The scale on a blueprint for a bathroom is 1 inch to 4 feet. If the bathroom on the
blueprint is 4.5 inches by 3 inches, what is the area of the actual bathroom?
148)
The measures of two adjacent angles are in the ratio of 3 to 5. If the sum of the angle
measures is 88, what is the measure of the smaller angle?
149)
The measure of two supplementary angles are in the ratio of 2:14. Find the measure of
the larger angle.
150)
The ratio of dogs to cats in the pet store is 8:3. If there are 55 pets in the store, how many
dogs are there?
Homework
151)
Mr. Woods bought 2 pounds of concrete to cover his sidewalk with an area of 5 square
feet. At this rate, how much concrete would he need to cover 10 square feet?
152)
The measure of two complimentary angles are in the ratio 7:13. Find the measure of
each angle in degrees.
153)
The measure of two supplementary angles are in the ratio 4:12. find the measure of each
angle in degrees.
154)
A high school has 2000 students, where 5 out of 8 students said that they do want soda
in the cafeteria. How many students do not want soda.
155)
A 14 pound soup recipe calls for 4 eggs. At this rate, how many eggs will be needed for a
20 pound soup?
156)
The scale on a hunting map is 3 inches to 7 miles. If the road to the bears is 6 inches on
the map, how long is the road in real life?
NJ Center for Teaching and Learning
www.njctl.org
157)
The scale on a blueprint for a kitchen is 1 inch to 3.5 feet. If the bathroom on the blueprint
is 6 inches by 9 inches, what is the area of the actual kitchen?
158)
The measures of two adjacent angles are in the ratio of 5 to 11. If the sum of the angle
measures is 100, what is the measure of the smaller angle?
159)
The measure of two supplementary angles are in the ratio of 5:10. Find the measure of
the larger angle?
160)
The ratio of birds to fish in the pet store is 2:38. If there are 440 pets in the store, how
many fish are there?
NJ Center for Teaching and Learning
www.njctl.org
Answer Key
1. answers will vary
2. answers will vary
3. 10 and 15
4. 85
5. 10
6. 30 and 31
7. 13 meters
8. 25, 27 and 29 meters
9. 21 stops
10.
12 red marbles
21.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
Age Now
Age Next Year
Cat
X
x+1
Joanna
x+5
(x + 5) + 1
answers will vary
answers will vary
48 and 13
14
31
220, 222
6
12, 14 and 16
6 bags
64 red marbles
The cat is 1.5 year old.
22.
Age Now
Age in 5 years
Eric
x + 10
(x + 10) + 5
Michelle
x
x+5
Eric will be 20 years old in 5 years.
23.
Age Now
Age in 4 years
Billy
x+7
(x + 7) + 4
Diana
X
x+4
Diana is 3 years old and Billy is 10 years old.
24. x + 2x = 65
25. x + 4x = 99
26. 2x - 30 = 72 (or) x + x - 30 = 72
27. Bobby is 4 and Ricky is 17
28. Frank is 5
29. the brothers are 4, 6 and 8
30. 16
NJ Center for Teaching and Learning
www.njctl.org
31.
Age Now
Age Next Year
Hamster
x+6
(x + 6) + 1
Linda
x
x+1
Age Now
Age in 2 years
John
x + 12
(x + 12) + 2
Timmy
X
x+2
Linda is 7 years old.
32.
Timmy will be 3.
33.
Age
Age in 3 years
Jenna
x+7
(x+7) + 3
Hannah
X
x+3
Jenna will be 14, Hannah will be 7
34. x + 3x = 46 (or) 4x = 46
35. x + 3x = 110 (or) 4x = 110
36. x + 3x = 40 (or) 4x = 40
37. Jordan is 10 and Tammy is 47
38. Robert is 5 and Lauren is 31
39. the brothers are 3, 5, 7, and 9
40. 3 years old
41. 16 units
42. 21 units
43. 32 units2
44. 16 units2
45. 9 times
46. l = 2w + 2
47. l = 5w - 4
48. (16a2 + 80ab + 100b2) units2
49. 3x2 + 42x
50. 165x2
51. 28 units
52. 27 units
53. 120 units2
54. 60 units2
55. 16 times
56. l = 3w + 4
57. l = 5w - 8
58. (a2 + 14ab + 49b2) units2
59. 4x2 +48x units2
60. 3x3 + 23x2 units2
61. $4.05
62. $120.00
63. $187.25
64. $13.80
65. The first store
66. 60% increase
67. 83.3% decrease
68. $9000.00
69. $214, 285.71
70. $5250 at 5% and $3750 at 9%
71. $20.64
72. $135.44
73. $189.10
74. $3.75
75. the 2nd store
76. 40% increase
77. 75% decrease
NJ Center for Teaching and Learning
www.njctl.org
78. $10,800.00
79. $200,000.00
80. $6,875 at 5% and $3,125 at 9%
81.
Number of Fruit
Price of Fruit
Total Value
Apples
s
$0.98
0.98s
Bananas
24 - s
$0.57
0.57(24 - s)
Mixture
24
$15.00
2.4 apples and 20.8 bananas
82.
Volume of Solution
% Salt
Volume of Salt
Original Solution
30
12%
.12(30)
Water Added
s
0%
0(s) = 0
New Solution
30 + s
5%
0.05(30 + s)
42 L of water added
83. 27.4L
84. 126 adult tickets
85. 1.33L
86. 27 pennies
87. 5, $10 bills
88. 50 gallons
89. 18.75%
90. 5 pounds
91.
Number of Nut
Price of Nut
Total Value
Peanuts
s
$0.64
0.64s
Cashews
26 - s
$0.32
0.32(26 - s)
Mixture
26
$14.40
19 peanuts
92.
Volume of Solution
% Salt
Volume of Salt
Original Solution
44
13%
0.13(44)
Water Added
s
0%
0(s) = 0
New Solution
44 + s
2%
0.02(44 + s)
242L water
NJ Center for Teaching and Learning
www.njctl.org
93. 22.4L
94. 2 pounds of chocolate
95. 20 gallons
96. 15 pennies
97. 125 child tickets
98. 80 liters
99. 200 grams
100. 200 kilograms
101. 37.5 km/h
102. 2.8 m/s
103. 13.7 meters
104. 12 mph
105. 50 mph
106. 50 mph
107. 3 hours
108. 4 hours
109. 960 miles
110. 68 mph
111. 6 km/h
112. 4.9 m/s
113. 20.6 miles
114. 30 mph
115. 21 mph
116. 33.4 mph
117. 1.7 hours
118. 4.8 hours
119. 824 miles
120. 35 mph
121. 1.2 hours
122. 9.3 hours
123. 1.3 hours
124. 15 minutes
125. 6 hours
126. 12 hours
127. 3.75 minutes, yes
128. 1.4 hours
129. 18.75 minutes
130. 24 minutes
131. 2.5 hours
132. 13.3 hours
133. 1.7 hours
134. 22.5 minutes
135. 15 minutes
136. 72 days
137. 25.7 minutes, yes
138. 2 hours
139. 18.75 hours
140. 0.86 hour
141. 150 pounds
142. 40 degrees & 50 degrees
143. 72 degrees & 108 degrees
144. 1875 students
145. 6 eggs
146. 21 miles
147. 216 feet2
148. 33 degrees
149. 157.5 degrees
150. 40 dogs
151. 4 pounds
152. 31.5 degrees & 58.5 degrees
153. 45 degrees & 135 degrees
154. 750 students
155. 6 eggs
156. 14 miles
157. 661.5 feet2
158. 31.25 degrees
159. 120 degrees
160. 418 fish
NJ Center for Teaching and Learning
www.njctl.org