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

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Math Expert
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Joined: 02 Sep 2009
Posts: 58427
Twenty children were sharing equally the cost of a present for their  [#permalink]

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New post 28 Jan 2019, 00:30
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (02:08) correct 20% (02:42) wrong based on 18 sessions

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GMAT Club Legend
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D
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: Twenty children were sharing equally the cost of a present for their  [#permalink]

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New post 28 Jan 2019, 03:37
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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Joined: 09 Mar 2018
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Location: India
Re: Twenty children were sharing equally the cost of a present for their  [#permalink]

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New post 28 Jan 2019, 03:58
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

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Re: Twenty children were sharing equally the cost of a present for their   [#permalink] 28 Jan 2019, 03:58
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