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Math Problems
Grade 8
Multi-step problems with percents
Ty has cumulative earnings of
$
\$
$
107
107
107
,
600
600
600
. This week he is paid
$
\$
$
3
3
3
,
000
000
000
. What's the total amount of Social Security tax for this week? Assume a rate of
6.2
%
6.2\%
6.2%
on
$
\$
$
110
110
110
,
100
100
100
for Social Security and
1.45
%
1.45\%
1.45%
for Medicare.
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Pedro invests
$
7200
\$7200
$7200
in two different accounts. The first account paid
12
%
12\%
12%
, the second account paid
4
%
4\%
4%
in interest. At the end of the first year he had earned
$
744
\$744
$744
in interest. How much was in each account?
\newline
$
\$
$
◻ at
12
%
12\%
12%
\newline
$
\$
$
◻ at
4
%
4\%
4%
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At a shop, a mobile phone was sold at
40
%
40\%
40%
of a television. Both items were sold at a
20
%
20\%
20%
discount. Janet paid
$
2016
\$2016
$2016
for both items after the discount. What was the usual price of the television?
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Mia hired a moving company. The company charged
$
500
\$500
$500
for its services, and Mia gives the movers a
16
%
16\%
16%
tip. How much does Mia tip the movers?
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Mary and John manage two different projects and they have a common budget. Mary spent half of the budget, then John spent half of what was left, then Mary spent half of what was left and so on until the last cent.
\newline
What proportion of the budget did Mary spend?
\newline
75
%
75\%
75%
\newline
Two thirds
\newline
60
%
60\%
60%
\newline
A half
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Taub was out at a restaurant for dinner when the bill came. Her dinner came to
$
23
\$ 23
$23
. After adding in a tip, before tax, she paid
$
30.36
\$ 30.36
$30.36
. Find the percent tip.
\newline
Answer: _________
%
\%
%
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Ayden was out at a restaurant for dinner when the bill came. His dinner came to
$
35
\$ 35
$35
. After adding in a tip, before tax, he paid
$
\$
$
42
42
42
.
35
35
35
. Find the percent tip.
\newline
Answer: _________
%
\%
%
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Kennedy has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at
$
37
\$ 37
$37
, before discount and tax. After the discount, and before tax, the price is
$
36.26
\$ 36.26
$36.26
. Find the percent discount.
\newline
Answer: _____
%
\%
%
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Jack went shopping for a new pair of sneakers because of a sale. The price on the tag was
$
20
\$ 20
$20
, but Jack paid
$
15
\$ 15
$15
before tax. Find the percent discount.
\newline
Answer: _____
%
\%
%
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Rashon went shopping for a new pair of pants because of a sale. The price on the tag was
$
30
\$ 30
$30
, but Rashon paid
$
27
\$ 27
$27
before tax. Find the percent discount.
\newline
Answer: _____
%
\%
%
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Gabriella went shopping for a new phone. Sales tax where she lives is
9
%
9 \%
9%
. What number should she multiply the price of the phone by to find the total plus tax in one step?
\newline
Answer:
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Aaron went shopping for a new camera because of a discount sale. He multiplied the price of the camera by
0
0
0
.
85
85
85
to find the price he would actually have to pay, before tax. What percent discount is the sale?
\newline
Answer: ______
%
\%
%
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Owen has a loyalty card good for a discount at his local hardware store. To find the total he has to pay, before tax, he multiplies the prices by
0
0
0
.
85
85
85
. What percent discount does the card give?
\newline
Answer: ______
%
\%
%
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Alexa went shopping for a new camera. Sales tax where she lives is
5.75
%
5.75 \%
5.75%
. What number should she multiply the price of the camera by to find the total plus tax in one step?
\newline
Answer:
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Luke was out at a restaurant for dinner when the bill came. To find the total plus tip, he multiplied the cost of the meal by
1
1
1
.
12
12
12
. What percent tip did he leave?
\newline
Answer:
%
\%
%
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Jonathan was out at a restaurant for dinner when the bill came. He wanted to leave a tip of
18
%
18 \%
18%
. What number should he multiply the cost of the meal by to find the total plus tip in one step?
\newline
Answer:
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Casho went shopping for a new pair of pants. Sales tax where she lives is
6
%
6 \%
6%
. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
\newline
Answer:
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Benjamin went shopping for a new video game. Sales tax where he lives is
6
%
6 \%
6%
. What number should he multiply the price of the video game by to find the total plus tax in one step?
\newline
Answer:
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London went shopping for a new pair of pants. Sales tax where she lives is
10
%
10 \%
10%
. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
\newline
Answer:
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Rahul went shopping for a new phone. Sales tax where he lives is
5.25
%
5.25 \%
5.25%
. The price of the phone is
$
24
\$ 24
$24
. Find the total price including tax. Round to the nearest cent.
\newline
Answer:
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Daniel went shopping for a new phone. Sales tax where he lives is
9
%
9 \%
9%
. The price of the phone is
$
38
\$ 38
$38
. Find the total price including tax. Round to the nearest cent.
\newline
Answer:
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A pair of shoes is
$
32
\$ 32
$32
. They are on sale for
15
%
15 \%
15%
off and the tax is
6
%
6 \%
6%
. How much does it cost?
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Lydia goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
6
%
6 \%
6%
is applied to the bill. Lydia decides to leave a tip of
23
%
23 \%
23%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Lydia paid.
\newline
Answer:
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Madeline goes to a store and buys an item that costs
x
x
x
dollars. She has a coupon for
15
%
15 \%
15%
off, and then a
4
%
4 \%
4%
tax is added to the discounted price. Write an expression in terms of
x
x
x
that represents the total amount that Madeline paid at the register.
\newline
Answer:
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Aaron goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
7
%
7 \%
7%
is applied to the bill. Aaron decides to leave a tip of
17
%
17 \%
17%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Aaron paid.
\newline
Answer:
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Luis earns a base salary of
$
150.00
\$ 150.00
$150.00
every week with an additional
14
%
14 \%
14%
commission on everything he sells. Luis sold
$
6050.00
\$ 6050.00
$6050.00
worth of items last week.
\newline
What was Luis's total pay last week?
\newline
$
\$
$
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Neal buys a board game. He pays for the board game and pays
$
1.54
\$ 1.54
$1.54
in sales tax. The sales tax rate is
5.5
%
5.5 \%
5.5%
.
\newline
What is the original price of the board game, before tax?
\newline
$
\$
$
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Caleb bought groceries and paid
$
1.60
\$ 1.60
$1.60
in sales tax. The sales tax rate is
2.5
%
2.5 \%
2.5%
.
\newline
What was the price of Caleb's groceries, before tax?
\newline
$
\$
$
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A store has a
40
%
40 \%
40%
off sale on headphones. With this discount, the price of one pair of headphones is
$
36
\$ 36
$36
.
\newline
What is the original price of the pair of headphones?
\newline
$
\$
$
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Zoe paid
$
18.60
\$ 18.60
$18.60
in sales tax and tips for her dinner. The sales tax rate is
11
%
11 \%
11%
, and she tipped
20
%
20 \%
20%
. (The sales tax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.)
\newline
What was the price of Zoe's dinner, before sales tax and tip?
\newline
$
\$
$
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Tiffany buys a basket of watermelons on sale for
$
9
\$ 9
$9
before tax. The sales tax is
9
%
9 \%
9%
.
\newline
What is the total price Tiffany pays for the basket of watermelons?
\newline
$
\$
$
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Isabella paid one of her bills late and owed a
4
%
4 \%
4%
late fee. Her total, with the late fee, was
$
780
\$ 780
$780
. How much was Isabella's original bill in dollars?
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Johnny bought an oil painting originally priced at $80 but on sale for
50
50
50
% off. After
10
10
10
% sales tax, what was the total cost?
\newline
`$`____
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