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Geoff used $630 to buy a new guitar. This amount was 15 perc

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Geoff used $630 to buy a new guitar. This amount was 15 perc [#permalink] New post 27 Jan 2016, 16:21
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Question Stats:

63% (00:36) correct 36% (00:59) wrong based on 30 sessions
Geoff used $630 to buy a new guitar. This amount was 15 percent of his earnings last summer.

Quantity A
Quantity B
The amount of Geoff’s
earnings last summer not
used to buy the new guitar
$3,570


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




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Page: 466
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[Reveal] Spoiler: OA

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Moderator
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Joined: 18 Apr 2015
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Kudos [?]: 1033 [0], given: 4655

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Re: Geoff used $630 to buy a new guitar. This amount was 15 perc [#permalink] New post 27 Jan 2016, 16:26
Expert's post
Solution

Be careful to read such question. You could stumble in the last step and pick A as the best answer.

\($650=0.15 of X\) So Geoff earnings is in total \($4200\). But the latter minus the $ needed to buy a guitar we end up with \($3570\)

The correct answer is \(C\)
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Re: Geoff used $630 to buy a new guitar. This amount was 15 perc [#permalink] New post 03 Nov 2017, 08:29
Expert's post
Carcass wrote:
Geoff used $630 to buy a new guitar. This amount was 15 percent of his earnings last summer.

Quantity A
Quantity B
The amount of Geoff’s
earnings last summer not
used to buy the new guitar
$3,570




Geoff used $630 to buy a new guitar. This amount was 15 percent of his earnings last summer
Let E = Geoff's earnings last summer
So, $630 = 15% of E
In other words, $630 = 0.15E
So solve for E, we divide both sides by 0.15
When we do so, we get: E = $4200

If $4200 equals Geoff's earnings last summer, and Geoff spent $630 on the guitar, then the amount of earnings NOT used to buy the new guitar = $4200 - $630 = $3570

We get:
Quantity A: $3570
Quantity B: $3,570

Answer: C

Cheers,
Brent
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Re: Geoff used $630 to buy a new guitar. This amount was 15 perc   [#permalink] 03 Nov 2017, 08:29
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Geoff used $630 to buy a new guitar. This amount was 15 perc

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