MAT 0002 Section 5.3 (Proportions and Problem Solving

MAT 0002 Section 5.3 (Proportions and Problem Solving)
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve.
Solve.
Solve.
1) The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted
24 passes, find how many passes he completed. Round to the nearest whole number if necessary.
A) 21 passes
B) 3 passes
C) 27 passes
D) 8 passes
1)
2) The ratio of a basketball player's completed free throws to attempted free throws is 7 to 9. If she
completed 21 free throws, find how many free throws she attempted. Round to the nearest whole
number if necessary.
A) 7 free throws
B) 16 free throws
C) 3 free throws
D) 27 free throws
2)
3) The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5
inches, what is its width?
A) 21.5 in.
B) 7.5 in.
C) 0.7 in.
D) 9.5 in.
3)
4) It takes Emma 18 minutes to type and spell check 14 pages of a manuscript. Find how long it takes
her to type and spell check 77 pages. Round answers to the nearest whole number if necessary.
A) 18 min
B) 99 min
C) 60 min
D) 1386 min
4)
5) It takes Mark 20 minutes to type and spell check 14 pages. Find how many pages he can type and
spell check in 5.5 hours. Round answers to the nearest tenth if necessary.
A) 77 pages
B) 385 pages
C) 231 pages
D) 471.4 pages
5)
6) On a map, the length of a nature-center trail is 5.6 centimeters. If the scale is 2 centimeters to 31
kilometers, what is the actual length of the trail?
A) 87.8 km
B) 90.8 km
C) 173.6 km
D) 86.8 km
6)
7) Joan can mow a 10-acre field in 4 hours. How long would it take her to mow a 8-acre field?
A) 3.2 hr
B) 6.2 hr
C) 0.8 hr
D) 5.2 hr
7)
8) On an architect's blueprint, 1 inch corresponds to 3 feet. Find the length of a wall represented by a
2
line 1 inches long on the blueprint. Round to the nearest tenth if necessary.
3
8)
A) 10 ft
B) 5 ft
C) 18 ft
D) 55.6 ft
9) On an architect's blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 51 feet long, find how
long the blueprint measurement should be. Write answer as a mixed number if necessary.
1
13
2
in.
A) 38 in.
B) 1
C) 5 in.
D) 51 in.
4
17
3
9)
10) It is recommended that there be at least 10.4 square feet of floor space in a classroom for every
student in the class. Find the minimum floor space that 50 students require. Round to the nearest
tenth if necessary.
A) 20.8 sq ft
B) 480.8 sq ft
C) 520 sq ft
D) 10.4 sq ft
10)
11) It is recommended that there be at least 13.8 square feet of ground space in a garden for every
newly planted shrub. A garden is 32.2' by 18'. Find the maximum number of shrubs the garden
can accommodate.
A) 3 shrubs
B) 13 shrubs
C) 42 shrubs
D) 193 shrubs
11)
12) It is recommended that there be at least 11 square feet of work space for every person in a
conference room. A certain conference room is 17' by 17'. Find the maximum number of people the
room can accommodate.
A) 26 people
B) 36 people
C) 27 people
D) 46 people
12)
1
13) A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be
purchased to cover a rectangular lawn 80 feet by 190 feet.
A) 6 bags
B) 5 bags
C) 506 bags
D) 51 bags
13)
14) The scale on a map states that 1 centimeter corresponds to 30 kilometers. On the map, two cities
are 1.6 cm apart. Find the actual distance.
A) 48 km
B) 4800 km
C) 480 km
D) 4.8 km
14)
15) A punch recipe calls for mixing 2 parts of grape juice with 3 parts of apple juice. Find how much
grape juice should be mixed with 42 ounces of apple juice.
A) 63 oz
B) 28 oz
C) 21 oz
D) 14 oz
15)
16) Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value.
Find the property taxes on a townhouse valued at $131,000.
A) $2032.05
B) $2030.50
C) $1311.55
D) $203.05
16)
17) A baseball player makes 4 hits in every 7 times at bat. At this rate, if he made 24 hits, find how
many times he batted.
A) 42 times at bat
B) 96 times at bat
C) 168 times at bat
D) 24 times at bat
17)
18) There are 0.5 milligrams of iron in a 3.5 ounce serving of cod. How much iron is in 5 ounces of c
od? Round the answer to one decimal place.
A) 1.4 mg
B) 0.7 mg
C) 0.4 mg
D) 1.7 mg
18)
19) One pound of a product yields 3
1
cups. How many pounds of this product will be required by a
4
recipe that calls for 7 cups of the product?
3
1
lb
A) 22 lb
B) 28
4
13
C) 2
1
lb
4
D) 2
19)
2
lb
13
20) Five out of 10 adults in a certain city buy their drugs at large drug stores. If this city has 53,000
adults, how many of these adults would you expect to buy their drugs at large drug stores?
A) 26,500 adults
B) 10,600 adults
C) 2650 adults
D) 1060 adults
20)
21) The gasoline/oil ratio for a certain leaf blower is 50 to 1. If 1 gallon equals 128 fluid ounces, how
many fluid ounces of oil should be mixed with 10 gallons of gasoline? Round the answer to the
nearest whole ounce.
A) 26 fl oz
B) 27 fl oz
C) 25 fl oz
D) 250 fl oz
21)
22) The adult daily dosage for a certain medicine is 50 mg (milligrams) for every 25 pounds of body
weight. If the patient weighs 180 pounds and he is to receive a dose of this medicine every 6 hours,
find the amount of medicine he should receive in each dose.
A) 90 mg
B) 60 mg
C) 2160 mg
D) 1440 mg
22)
23) Richard Saltwood's car averages 957 miles on its 29-gallon tank of gas. If Richard runs out of gas
3
and a mechanic comes to his rescue with 2 gallons of gas, determine how far his car can go.
4
23)
Round to the nearest mile.
A) 92 mi
B) 58 mi
C) 91 mi
D) 182 mi
24) A can of lemonade comes with a measuring scoop and directions for mixing are 4 scoops of mix for
every 28 cups of water. How much water is needed to make the entire can of lemonade if there are
40 scoops of mix?
A) 1120 cups
B) 280 cups
C) 160 cups
D) 6 cups
24)
25) The ratio of the weight of an object on Earth to the weight of the same object on Pluto is 100 to 3. If
a buffalo weighs 3982 pounds on Earth, find the buffalo's weight on Pluto. (Round to the nearest
pound.)
A) 11,946 lb
B) 8 lb
C) 119 lb
D) 1,194,600 lb
25)
26) A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg,
how many mL do you administer?
A) 112 mL
B) 0.6 mL
C) 1.75 mL
D) 14 mL
26)
2
27) Find the distance that will allow the board to balance.
9 feet
27)
x feet
100 pounds
A) 4
55 pounds
1
9
B) 16
1
9
C) 4
19
20
D) 16
4
11
28) A label printer prints 7 pages of labels in 3.4 seconds. How long will it take to print 56 pages of
labels?
A) 29.20 sec
B) 27.20 sec
C) 31.20 sec
D) 30.20 sec
28)
29) If 7 sandwich rolls cost $1.68, how much will 29 rolls cost?
A) $7.96
B) $11.76
C) $6.96
29)
30) The scale on a map is
D) $13.76
1
inch to 5 miles. Find the actual distance between two towns for which the
4
distance is represented by 30 inches on the map.
A) 603.85 mi
B) 588 mi
C) 600 mi
D) 592.5 mi
31) In the rectangles below, the ratio of length to width is the same. Find the length
of the larger rectangle.
30 ft
30)
31)
50 ft
20 ft
x
A) 70 ft
32) Under typical conditions, 1
will 1
B) 65 ft
C) 80 ft
D) 75 ft
1
ft of snow will melt to 2 in. of water. To how many inches of water
2
3
ft of snow melt?
4
A) 2
1
in.
3
B) 3
1
in.
2
C) 2
3
5
in.
8
D) 2
5
in.
12
32)