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In an office of eleven people, everyone but Lauren each

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In an office of eleven people, everyone but Lauren each

by swerve » Sat Dec 15, 2018 9:49 am

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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
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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.

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Fabio.
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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

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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]
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