BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In an office of eleven people, everyone but Lauren each

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

In an office of eleven people, everyone but Lauren each

by swerve » Sat Dec 15, 2018 9:49 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

In an office of eleven people, everyone but Lauren each contributed d dollars to buy her a surprise gift for her birthday. The gift cost g dollars, an amount that was less than the total collected. If each member who donated is to receive a proportional refund for the amount that wasn't spent, how much will they each receive?

A. 11d−g
B. (d−g)/10
C. (10g−d)/10
D. (10d−g)/10
E. (g−10d)/11

The OA is D

Source: Veritas Prep
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 1449
Joined: Sat Oct 09, 2010 2:16 pm
Thanked: 59 times
Followed by:33 members

by fskilnik@GMATH » Sun Dec 16, 2018 4:28 am
swerve wrote:In an office of eleven people, everyone but Lauren each contributed d dollars to buy her a surprise gift for her birthday. The gift cost g dollars, an amount that was less than the total collected. If each member who donated is to receive a proportional refund for the amount that wasn't spent, how much will they each receive?

A. 11d−g
B. (d−g)/10
C. (10g−d)/10
D. (10d−g)/10
E. (g−10d)/11
Source: Veritas Prep
$$\left\{ \matrix{
\,{\rm{Lauren}} \hfill \cr
\,{\rm{10}}\,\,{\rm{others}}\,\, \to \,\,\,{\rm{\$ }}d\,\,{\rm{each}} \hfill \cr} \right.\,\,\,\,\,\,\,;\,\,\,\,\,\,\$ g\,\,{\rm{gift}}$$
$$? = {{\,{\rm{total}}\,\,{\rm{refund}}\,\,\left[ \$ \right]\,} \over {10\,{\rm{people}}}}\,\,\, = \,\,\,{{10d - g} \over {10}}\,\,\,\,\,\,\left[ {{\$ \over {{\rm{person}}}}} \right]$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Thu Mar 14, 2019 3:57 pm
swerve wrote:In an office of eleven people, everyone but Lauren each contributed d dollars to buy her a surprise gift for her birthday. The gift cost g dollars, an amount that was less than the total collected. If each member who donated is to receive a proportional refund for the amount that wasn't spent, how much will they each receive?

A. 11d−g
B. (d−g)/10
C. (10g−d)/10
D. (10d−g)/10
E. (g−10d)/11

The OA is D

Source: Veritas Prep
The total amount of money collected is 10d dollars (recall that Lauren didn't contribute for the gift since it's her birthday). Since the gift cost g dollars, and g is less than 10d, the total extra money after the buying the gift is (10d - g) dollars, so the 10 people who contributed toward the gift will each receive (10d - g)/10 dollars back.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Thu Mar 14, 2019 4:46 pm
Hi All,

We're told that in an office of 11 people, everyone but Lauren each contributed D dollars to buy her a surprise gift for her birthday, but the gift cost a total of G dollars, which was an amount that was less than the total collected. We're asked - if each member who donated is to receive a proportional refund for the amount that wasn't spent, how much will they each receive. This question can be approached in a couple of different ways, including by TESTing VALUES.

IF... D = 5 AND G = 40...
then a total of (10)($5) = $50 was collected
Since the gift cost $40, then $50 - $40 = $10 was returned to the 10 people....
Each received $10/10 = $1

Thus, we're looking for an answer that equals 1, when D=5 and G=40. There's only one answer that matches...

Final Answer: D

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Post new topic Post Reply
• Page 1 of 1