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# Twenty children were sharing equally the cost of a present for their

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
Twenty children were sharing equally the cost of a present for their  [#permalink]

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27 Jan 2019, 23:30
00:00

Difficulty:

(N/A)

Question Stats:

100% (02:58) correct 0% (00:00) wrong based on 7 sessions

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Twenty children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much did the present cost, in dollars? ​

A. 50 ​

B. 80 ​

C. 100 ​

D. 120 ​

E. 150

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Posts: 1880
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Twenty children were sharing equally the cost of a present for their  [#permalink]

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28 Jan 2019, 02:37
Bunuel wrote:
Twenty children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much did the present cost, in dollars? ​

A. 50 ​

B. 80 ​

C. 100 ​

D. 120 ​

E. 150

actual avg of gift : x/20
after 4 children left new avg ; 1.5*16 = 24
x+24/16
since the avg price would have to same
x+24/16 = x/20
x = 120
IMO D
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Re: Twenty children were sharing equally the cost of a present for their  [#permalink]

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28 Jan 2019, 02:58
Bunuel wrote:
Twenty children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much did the present cost, in dollars? ​

A. 50 ​

B. 80 ​

C. 100 ​

D. 120 ​

E. 150

Let n be the total cost, x was shared by 20 students

n/20 = x

n = 20 x

n/ 16 = x +1.5

n = 16x + 24

4x = 24

x = 6

Initial Cost =120

D
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Re: Twenty children were sharing equally the cost of a present for their   [#permalink] 28 Jan 2019, 02:58
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# Twenty children were sharing equally the cost of a present for their

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