In an office of eleven people, everyone but Lauren each contributed d

Question

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

A. 11d−g

B. (d−g)/10

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

chetan2u · Answer

two ways

1)  algebraic 
10 people contribute d each so total contribution = 10d
cost of gift = g, so remaining money = 10d-g
when distributed amongst 10, each one gets  \frac{10d-g}{10} 
D

2) substitution
let d be 5, so amount = 10*5=50
let cost of gift = g=40
remaining =50-40=10
each gets 10/10=1
Only D gives the answer
D

souvonik2k · Answer

No. of people who contributed = 11-1=10
Total amount collected = 10d
Extra amount = 10d-g
Amt each will receive who contributed =  \frac{(10d-g)}{10} 
Answer D.

ScottTargetTestPrep · Answer

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

EMPOWERgmatRichC · Answer

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

In an office of eleven people, everyone but Lauren each contributed d

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