Name: _____________________________________ Day/Block: _____________ Criteria A: Knowledge and Understanding – Percent 7-­‐8 The student consistently solves simple, complex, and challenging problems correctly. 5-­‐6 The student generally solves, simple, challenging, and complex problems correctly. 3-­‐4 The student sometimes solves simple, challenging, and complex problems correctly. 1) What is 23% of 550? Answer: 126.5
Step 1: Convert 23% to a decimal: 23/100 = 0.23
Step 2: Multiply: 0.23 x 550 = 126.5
or
Step 1: Set up the percent proportion to solve:
23 = x
100
550
Step 2: Cross Multiply to set up an equation to solve
100x = 12650 = 126.5
2) 12 is 40% of what number? Answer: 30
Step 1: Set up the percent proportion to solve:
1-­‐2 The student attempts to solve simple, challenging, and complex problems correctly. 12 =
x
40
100
Step 2: Cross Multiply to set up an equation to solve
1200 = 40x = 30
3) 7 is what percent of 56? Answer: 12.5
Step 1: Set up the percent proportion to solve:
7
56
=
x
100
Step 2: Cross Multiply to set up an equation to solve
700 = 56x = 12.5
4) What is the percent of change if 75 is decreased to 45? Answer: 40%
Step 1: Set up the percent of change equation and solve
45 – 75 =
75
-30
= -0.4
75
Step 2: Multiply by 100 to change the decimal to a percent
0.4 x 100 = 40 %
5) What is the percent of change is 40 is increased to 88? Answer: 120%
Step 1: Set up the percent of change equation and solve
88 – 40
=
40
48
= 1.2
40
Step 2: Multiply by 100 to change the decimal to a percent
1.2 x 100 = 120%
6) Original Price of a t-shirt: $21.50
Discount: 45%
What is the selling price? Answer: $11.82
Step 1: Convert 45% to a decimal by dividing by 100
Step 2: Multiply the original price by the discount
$21.50 x .45 = $9.68
Step 3: Subtract the discounted price from the original price
$21.50 – $9.68 = $11.82
7) Original price of a concert ticket: $95.00
Tax: 7%
What is the final price? Answer: $101.65
Step 1: Convert 7% to a decimal by dividing by 100
Step 2: Multiply the original price by the tax
$95.00 x 0.07 = $6.65
Step 3: Add the tax to the original price
$95.00 + $6.65 = $101.65
8) Price store owner pays for leather flip flops: $25.00
Markup: 80%
Tax: 8.5%
How much will a customer have to pay to purchase the flip flops?
Answer: $48.83
Step 1: Convert 80% to a decimal by dividing by 100
Step 2: Multiply the original price of the flip-flops by the markup
$25.00 x 0.8 = $20
Step 3: Add the original price and the amount of the mark up
$25.00 + $20.00 = $45.00
Step 4: Convert 8.5% to a decimal by dividing by 100
Step 5: Multiply the price after mark up by tax
$45.00 x 0.085 = $3.83
Step 6: Add the price after mark up and the amount of tax
$45.00 + $3.83 = $48.83
Name: _____________________________________
Day/Block: _________
Criteria A: Knowledge and Understanding – Percent
7-8
The student consistently
solves simple, complex,
and challenging problems
correctly.
5-6
The student generally
solves, simple,
challenging, and
complex problems
correctly.
3-4
The student sometimes
solves simple,
challenging, and
complex problems
correctly.
1) What is 76% of 240? Answer: 182.4
‘
Step 1: Convert 76% to a decimal: 76/100 = 0.76
Step 2: Multiply: 0.76 x 240 = 182.4
Or
Step 1: Set up the percent proportion to solve:
76 = x
100
240
Step 2: Cross Multiply to set up an equation to solve
100x = 18240 = 182.4
2) 12 is 60% of what number? Answer: 20
Step 1: Set up the percent proportion to solve:
1-2
The student attempts to
solve simple,
challenging, and
complex problems
correctly.
60
=
12
100
x
Step 2: Cross Multiply to set up an equation to solve
60x = 1200 = 20
3) 42 is what percent of 112? Answer: 37.5
Step 1: Set up the percent proportion to solve:
X
100
=
42
112
Step 2: Cross Multiply to set up an equation to solve
112x = 4200 = 37.5
4) What is the percent of change if 18 is increased to 45? Answer: 150%
Step 1: Set up the percent of change equation and solve
45 – 18 =
27
18
= 1.5
18
Step 2: Multiply by 100 to change the decimal to a percent
1.5 x 100 = 150%
5) What is the percent of change if 400 is decreased to 290? Answer: 27.5%
Step 1: Set up the percent of change equation and solve
290 – 400
=
400
-110
= - 0.275
400
Step 2: Multiply by 100 to change the decimal to a percent
0.275 x 100 = 27.5%
6)
Original price of a candy bar: $3.95
Sale: 30% off
What is the selling price? Answer: $2.76
Step 1: Convert 30% to a decimal by dividing by 100
Step 2: Multiply the original price by the discount
$3.95 x 0.30 = $1.19
Step 3: Subtract the discounted price from the original price
$3.95 - $1.19 = $2.76
7) Original price of a plane ticket: $398
Tax: 4%
What is the final price? Answer: $413.92
Step 1: Convert 4% to a decimal by dividing by 100
Step 2: Multiply the original price by the tax
$398 x 0.04 = $15.92
Step 3: Add the tax to the original price
$398 + $15.92 = $413.92
8) Price store owner pays for a soccer ball: $12.50
Markup: 70%
Tax: 7.5%
How much will the customer have to pay to purchase the soccer ball?
Answer: $22.84
Step 1: Convert 70% to a decimal by dividing by 100
Step 2: Multiply the original price of the soccer ball by the markup
$12.50 x 0.70 = $8.75
Step 3: Add the original price and the amount of the mark up
$12.50 + $8.75 = $21.25
Step 4: Convert 8.5% to a decimal by dividing by 100
Step 5: Multiply the price after mark up by tax
$21.25 x 0.075 = $1.59
Step 6: Add the price after mark up and the amount of tax
$21.25 + $1.59 = $22.84
Name: _____________________________________
Day/Block: ________
Criteria D: Application – Percent
I can…
• Identify relevant elements of authentic real-life problems
• Select appropriate mathematics when solving authentic real-life problems
• Apply the selected mathematics successfully to reach a solution
• Justify the degree of accuracy of the solution
• Justify whether a solution makes sense in real life
7-8
The student
meets all of the
descriptors
above.
5-6
The student meets
most of the
descriptors above.
3-4
The student
meets some of
the descriptors
above.
1-2
The student meets
few of the
descriptors above.
0
The student
does not reach a
standard
described by any
of the descriptors
above.
1) Manuel recently bought a used car for 55% of the original price of $24,500.
What did he pay for the car?
Step 1: Convert 55% to a decimal by dividing by 100
Step 2: Multiply (0.55 x $24,500= $13,475)
Manuel paid $13,475 for the car
2) By buying 10 books, Fred gets a 20% discount on his purchase. The 10 books
cost a total of $67.50. How much will Fred pay for the 10 books?
Step 1: Convert 20% to a decimal by dividing by 100
Step 2: Multiply - $67.50 x 0.20 = $13.50
Step 3: Subtract - $67.50 - $13.50 = $54.00
Fred will pay $54.00 for the books.
3) In 1909, the average American consumed 18 pounds of butter. In 1999, the
average American consumed 27% of that amount. About how much butter did
the average American consume in 1999?
Step 1: Convert 27% to a decimal by dividing by 100
Step 2: Multiply – 18 x 0.27 = 4.86
In 1999, Americans consumed 4.86 pounds of butter.
4) Yankee Stadium in New York City can hold 55, 070 fans. If a baseball
game draws a crowd that is 80% of the stadium’s capacity, how many
empty seats are there in the stadium?
Step 1: Convert 80% to a decimal by dividing by 100
Step 2: Multiply - 55, 070 x 0.80 = 44, 056
Step 3: Subtract – 55, 070 – 44, 056 = 11, 014
There are 11, 014 empty seats in the stadium.
5) Adam and Cyndi have lunch together and decide to split the cost evenly
and leave a 15% tip. The bill for lunch is $16. How much should each
leave as a tip?
Step 1: Convert 15% to a decimal by diving by 100
Step 2: Divide the cost of the meal 16/2 = 8
Step 3: Multiply the cost for lunch by 0.15 (8 x 0.15 = $1.20)
Each will leave $1.20 as a tip.
6) Kate had $2,251.35 in her bank account. Currently, she has $1,975.86 in her
account. Find the percent of change.
Step 1: Set up the percent of change equation and solve
$1, 975.86 - $2,251.35
$2, 251.35
= - 0.12
Step 2: Multiply by 100 to convert to a percent
(-0.12 x 100 = 12%)
There was a 12% decrease in her bank account.
7) In 1986 the average price of a gallon of gasoline was $0.93 cents. In 2007
the average price of a gallon of gasoline was $2.77. Find the percent of
change rounded to the nearest tenth of a percent.
Step 1: Set up the percent of change equation and solve
$2.77 - $0.93
=
1.9784
$0.93
Step 2: Round to the nearest tenth – 2.0
Step 3: Convert to a percent by multiplying by 100 (2 x 100 = 200%)
The price of gasoline increased by approximately 200%
8)
Mike and his parents went to Red Robin. Their order consisted of 2
hamburgers at $5.49 each, a chicken sandwich for $6.25, an order of ribs
for $12.99, and 4 sodas at $1.75 each. They left a 20% tip (on the food
and drink total, before tax) paid a 7% sales tax. How much money did
lunch cost them?
Step 1: Determine the cost of the meal
2 x $5.49 = $10.98
3 x $1.75 = $5.25
$10.98 + $5.25 + $6.25 + $12.99 = $35.47
Step 2: Convert 20% to a decimal by dividing by 100
Step 3: Multiply the cost of dinner by the tip ($35.47 x 0.2 = $7.09)
Step 4: Convert 7% to a decimal by dividing by 100
Step 5: Multiply the cost of dinner by the tax (35.47x 0.07 = $2.48)
Step 6: Add the tax and tip to the cost of dinner - $35.47 + $7.09 + $2.48 =
$45.04)
The cost of the meal was $45.04