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Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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25 Feb 2022, 07:52
25 Feb 2022, 07:52
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Question Stats:
14% (01:36) correct
85% (01:20) wrong based on 7 sessions
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Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A. $368
B. $380
C. $400
D. $420
E. $432
A. $368
B. $380
C. $400
D. $420
E. $432
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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26 Feb 2022, 05:33
26 Feb 2022, 05:33
1
Expert Reply
3% = $12
1% = $4
100% = $400
8% = $32
400 + 32 = 432
Answer: E
1% = $4
100% = $400
8% = $32
400 + 32 = 432
Answer: E
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Connie paid a sales tax of 8 percent on her purchase. If the sales tax
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26 Feb 2022, 08:58
26 Feb 2022, 08:58
2
Carcass wrote:
Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A. $368
B. $380
C. $400
D. $420
E. $432
A. $368
B. $380
C. $400
D. $420
E. $432
Let's start with the following word equation: (total cost including 8% tax) - (total cost including 5% tax) = $12
Let x = the cost of the purchase (without tax)
So we can write: (x + 8% of x) - (x + 5% of x) = $12
In other words: (x + 0.08x) - (x + 0.05x) = $12
Simplify: 0.03x = 12
Solve: x = 12/0.03 = 1200/3 = 400
So, the cost of the purchase (without tax) is $400
So, the total amount Connie paid = $400 + (8% of $400) = $432
Answer: E
