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25 Sep 2018, 05:10
00:00

Difficulty:

15% (low)

Question Stats:

90% (02:29) correct 10% (03:10) wrong based on 48 sessions

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Amy, Betty, and Chris paid a total of $135 for a common party. If Amy paid (3/5)th of what Chris paid, Betty paid$51 and Chris paid the rest, what fraction of the total amount did Chris pay?

(A) 3/7
(B) 1/5
(C) 2/15
(D) 7/18
(E) 11/18

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Re: Amy, Betty, and Chris paid a total of $135 for a common party. If Amy [#permalink] ### Show Tags 25 Sep 2018, 07:18 Top Contributor Bunuel wrote: Amy, Betty, and Chris paid a total of$135 for a common party. If Amy paid (3/5)th of what Chris paid, Betty paid $51 and Chris paid the rest, what fraction of the total amount did Chris pay? (A) 3/7 (B) 1/5 (C) 2/15 (D) 7/18 (E) 11/18 Let C = the amount Chris paid So, (3/5)C = 0.6C = the amount Amy paid And$51 = the amount Betty paid

In total, the 3 people spent $135 So, we can write: C + 0.6C + 51 = 135 Subtract 51 from both sides to get: C + 0.6C = 84 Simplify to get: 1.6C = 84 So, C = 84/1.6 = 52.5 So, Chris paid$52.5 of the total amount of $135 What fraction of the total amount did Chris pay? Fraction is as follows: 52.5/135 Multiply top and bottom by 2 to get: 105/270 Divide top and bottom by 5 to get: 21/54 Divide top and bottom by 3 to get: 7/18 Answer: D Cheers, Brent _________________ Test confidently with gmatprepnow.com VP Joined: 31 Oct 2013 Posts: 1471 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: Amy, Betty, and Chris paid a total of$135 for a common party. If Amy  [#permalink]

### Show Tags

25 Sep 2018, 13:44
Bunuel wrote:
Amy, Betty, and Chris paid a total of $135 for a common party. If Amy paid (3/5)th of what Chris paid, Betty paid$51 and Chris paid the rest, what fraction of the total amount did Chris pay?

(A) 3/7
(B) 1/5
(C) 2/15
(D) 7/18
(E) 11/18

let the amount of chris be x

we can form equation:

(3/5)x + x + 51 = 135

8x / 5 = 54

x = 52.5

Question : the amount chris paid / total amount = 52.5 / 135 = 105 / 270 = 7/18.

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Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935

### Show Tags

27 Sep 2018, 17:35
Bunuel wrote:
Amy, Betty, and Chris paid a total of $135 for a common party. If Amy paid (3/5)th of what Chris paid, Betty paid$51 and Chris paid the rest, what fraction of the total amount did Chris pay?

(A) 3/7
(B) 1/5
(C) 2/15
(D) 7/18
(E) 11/18

We can let Chris’s amount = n, Amy’s amount = 3n/5, and Betty’s amount = 51; thus:

n + 3n/5 + 51 = 135

n + 3n/5 = 84

Multiplying the equation by 5, we obtain:

5n + 3n = 420

8n = 420

n = 52.5

So Chris paid 52.5/135 = 525/1350 = 105/270 = 21/54 = 7/18.

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