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

 It is currently 18 Oct 2019, 16:42

### 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

# A sum of money was divided between John and Bob so that the ratio of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
A sum of money was divided between John and Bob so that the ratio of  [#permalink]

### Show Tags

30 Jun 2017, 03:30
00:00

Difficulty:

45% (medium)

Question Stats:

72% (02:27) correct 28% (02:02) wrong based on 98 sessions

### HideShow timer Statistics

A sum of money was divided between John and Bob so that the ratio of John’s share to Bob’s share was 5 : 3. If John’s share exceeded (5/9)th of the total sum of money by $50, what was Bob’s share? (A)$180
(B) $270 (C)$340
(D) $450 (E)$720

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
A sum of money was divided between John and Bob so that the ratio of  [#permalink]

### Show Tags

30 Jun 2017, 03:54
Let John's share be x and Bob's share be y

From question stem,

$$\frac{x}{y} = \frac{5}{3}$$ -> 3x - 5y = 0 ->1
$$x = \frac{5*(x+y)}{9} + 50$$
9x = 5x + 5y + 450 -> 4x - 5y = 450 ->2

Substracting 1 from 2 gives x(John's Share) = 450

Hence, John's share is 450$Since the ratio's of their shares are 3:5, Bob's share is 270$(Option B)
_________________
You've got what it takes, but it will take everything you've got
Senior Manager
Joined: 28 May 2017
Posts: 281
Concentration: Finance, General Management
Re: A sum of money was divided between John and Bob so that the ratio of  [#permalink]

### Show Tags

30 Jun 2017, 04:03
2
Bunuel wrote:
A sum of money was divided between John and Bob so that the ratio of John’s share to Bob’s share was 5 : 3. If John’s share exceeded (5/9)th of the total sum of money by $50, what was Bob’s share? (A)$180
(B) $270 (C)$340
(D) $450 (E)$720

Let's assume John:Bob = 5x:3x

Since John’s share exceeded (5/9)th of the total sum of money by $50, we may write - 5x = $$\frac{5}{9}$$ 8x + 50 Solving the equation, we get x = 90 Bob's share = 3x = 90 x 3 = 270 Hence Answer B _________________ If you like the post, show appreciation by pressing Kudos button Director Joined: 04 Dec 2015 Posts: 743 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: A sum of money was divided between John and Bob so that the ratio of [#permalink] ### Show Tags 30 Jun 2017, 04:08 1 Bunuel wrote: A sum of money was divided between John and Bob so that the ratio of John’s share to Bob’s share was 5 : 3. If John’s share exceeded (5/9)th of the total sum of money by$50, what was Bob’s share?

(A) $180 (B)$270
(C) $340 (D)$450
(E) $720 $$John : Bob = 5:3$$ Total amount $$= 5x + 3x = 8x$$ John’s share exceeded ($$\frac{5}{9}$$)th of the total sum of money by $$50$$. $$\frac{5}{9}*x = 50$$ $$x = 90$$ Bob's Share $$= 3x = 3*90 = 270$$ Answer (B)... Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 8104 Location: United States (CA) Re: A sum of money was divided between John and Bob so that the ratio of [#permalink] ### Show Tags 04 Jul 2017, 07:50 3 Bunuel wrote: A sum of money was divided between John and Bob so that the ratio of John’s share to Bob’s share was 5 : 3. If John’s share exceeded (5/9)th of the total sum of money by$50, what was Bob’s share?

(A) $180 (B)$270
(C) $340 (D)$450
(E) $720 We are given that the ratio of John’s money to Bob’s money is 5 : 3 or 5x : 3x. Thus, the total is 8x. Since John’s share exceeded 5/9 of the total sum of money by$50:

5x = (5/9)(8x) + 50

45x = 40x + 450

5x = 450

x = 90

So, Bob’s share was 3 x 90 = 270.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Senior Manager
Joined: 02 Apr 2014
Posts: 468
Location: India
Schools: XLRI"20
GMAT 1: 700 Q50 V34
GPA: 3.5
Re: A sum of money was divided between John and Bob so that the ratio of  [#permalink]

### Show Tags

15 Jan 2018, 00:07
Given ratio: 5:3 = 8 parts

also it is mentioned john's share in 5/9 th + 50, total sum could be divisible by 9. Also total sum must be divisible by 8 (8 parts).

LCM (8, 9) = 72, but choices are multiple of 10s.

so let total sum = 720, then john's share = (5/9) * 720 + 50 = 450, bob's share = 270 => (B)
Re: A sum of money was divided between John and Bob so that the ratio of   [#permalink] 15 Jan 2018, 00:07
Display posts from previous: Sort by