GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Feb 2019, 18:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Free GMAT Strategy Webinar

February 16, 2019

February 16, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

### Show Tags

25 Sep 2018, 04:10
00:00

Difficulty:

15% (low)

Question Stats:

92% (02:28) correct 8% (03:32) wrong based on 43 sessions

### HideShow timer Statistics

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

_________________
CEO
Joined: 11 Sep 2015
Posts: 3431
Re: Amy, Betty, and Chris paid a total of $135 for a common party. If Amy [#permalink] ### Show Tags 25 Sep 2018, 06:18 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: 1116 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, 12:44
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.

GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 730

### Show Tags

27 Sep 2018, 16:35
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.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions