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

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In an office of eleven people, everyone but Lauren each contributed d  [#permalink]

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New post 30 Aug 2018, 20:55
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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

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Re: In an office of eleven people, everyone but Lauren each contributed d  [#permalink]

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New post 30 Aug 2018, 21:47
Bunuel 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


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
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Re: In an office of eleven people, everyone but Lauren each contributed d  [#permalink]

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New post 31 Aug 2018, 01:09
Bunuel 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


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.
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Re: In an office of eleven people, everyone but Lauren each contributed d  [#permalink]

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New post 04 Sep 2018, 11:22
Bunuel 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 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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Re: In an office of eleven people, everyone but Lauren each contributed d   [#permalink] 04 Sep 2018, 11:22
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