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
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
In an office of eleven people, everyone but Lauren each
This topic has expert replies
-
fskilnik@GMATH
- GMAT Instructor
- Posts: 1449
- Joined: Sat Oct 09, 2010 2:16 pm
- Thanked: 59 times
- Followed by:33 members
$$\left\{ \matrix{swerve wrote:In an office of eleven people, everyone but Lauren each contributed d dollars to buy her a surprise gift for her birthday. The gift cost g dollars, an amount that was less than the total collected. If each member who donated is to receive a proportional refund for the amount that wasn't spent, how much will they each receive?
A. 11d−g
B. (d−g)/10
C. (10g−d)/10
D. (10d−g)/10
E. (g−10d)/11
Source: Veritas Prep
\,{\rm{Lauren}} \hfill \cr
\,{\rm{10}}\,\,{\rm{others}}\,\, \to \,\,\,{\rm{\$ }}d\,\,{\rm{each}} \hfill \cr} \right.\,\,\,\,\,\,\,;\,\,\,\,\,\,\$ g\,\,{\rm{gift}}$$
$$? = {{\,{\rm{total}}\,\,{\rm{refund}}\,\,\left[ \$ \right]\,} \over {10\,{\rm{people}}}}\,\,\, = \,\,\,{{10d - g} \over {10}}\,\,\,\,\,\,\left[ {{\$ \over {{\rm{person}}}}} \right]$$
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
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7244
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
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.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
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
-
[email protected]
- 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
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
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
