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Fifteen clowns decided to contribute equal amounts of money to buy a

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Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 07 Mar 2017, 01:50
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  45% (medium)

Question Stats:

60% (01:30) correct 40% (01:35) wrong based on 79 sessions

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Fifteen clowns decided to contribute equal amounts of money to buy a car. However, when three of the clowns backed out, the remaining clowns had to increase their payments by $500 apiece to compensate. How much did each remaining clown end up paying for his or her share of the car?

A. $1,000
B. $1,500
C. $2,000
D. $2,500
E. $3,000

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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 07 Mar 2017, 02:01
Bunuel wrote:
Fifteen clowns decided to contribute equal amounts of money to buy a car. However, when three of the clowns backed out, the remaining clowns had to increase their payments by $500 apiece to compensate. How much did each remaining clown end up paying for his or her share of the car?

A. $1,000
B. $1,500
C. $2,000
D. $2,500
E. $3,000


let x be the share of each of the 15 clowns
15x = 12(x+500)
15x-12x=6000
3x=6000
x=2000

each remaining clown end up paying for his or her share of the car = 2000+500 = 2500

Hence option D is correct
Hit Kudos if you liked it 8-)
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 07 Jan 2018, 15:15
0akshay0 wrote:
Bunuel wrote:
Fifteen clowns decided to contribute equal amounts of money to buy a car. However, when three of the clowns backed out, the remaining clowns had to increase their payments by $500 apiece to compensate. How much did each remaining clown end up paying for his or her share of the car?

A. $1,000
B. $1,500
C. $2,000
D. $2,500
E. $3,000


let x be the share of each of the 15 clowns
15x = 12(x+500)
15x-12x=6000
3x=6000
x=2000

each remaining clown end up paying for his or her share of the car = 2000+500 = 2500

Hence option D is correct
Hit Kudos if you liked it 8-)


Yet when you choose 9 clowns instead the solution changes

9x = 6(x + 500)
3x = 3000
x = 1000

Then the payment would be 1500 :( :(
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 08 Jan 2018, 05:03
PaterD wrote:
0akshay0 wrote:
Bunuel wrote:
Fifteen clowns decided to contribute equal amounts of money to buy a car. However, when three of the clowns backed out, the remaining clowns had to increase their payments by $500 apiece to compensate. How much did each remaining clown end up paying for his or her share of the car?

A. $1,000
B. $1,500
C. $2,000
D. $2,500
E. $3,000


let x be the share of each of the 15 clowns
15x = 12(x+500)
15x-12x=6000
3x=6000
x=2000

each remaining clown end up paying for his or her share of the car = 2000+500 = 2500

Hence option D is correct
Hit Kudos if you liked it 8-)


Yet when you choose 9 clowns instead the solution changes

9x = 6(x + 500)
3x = 3000
x = 1000

Then the payment would be 1500 :( :(


If you change the question and make it total 9 clowns and 3 back out, the answer will certainly change. Why is that surprising?
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 08 Jan 2018, 11:33
Bunuel wrote:
Fifteen clowns decided to contribute equal amounts of money to buy a car. However, when three of the clowns backed out, the remaining clowns had to increase their payments by $500 apiece to compensate. How much did each remaining clown end up paying for his or her share of the car?

A. $1,000
B. $1,500
C. $2,000
D. $2,500
E. $3,000


15c = 12 (c + 500)

Or, 15c = 12c + 6000

Or, 3c = 6000

Or, c = 2000

Thus in the end each clown paid $ 2500 each, answer will be (D)
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 08 Jan 2018, 22:29
X = how much each clown in the original 15 paid
X + 500 = how much each clown in the remaining 12 paid
15*X = this is equal to the total cost of the car when the fifteen clowns each paid X amount.
12*(X + 500) = this is also equal to the total cost of the car, but signifies that the remaining twelve clowns each had to pay extra $500.

Thus 15*X = 12*(X + 500)
15*X = 12*X + 6000
3*X = 6000
X = 2000

Must remember that the question is asking for how much the *remaining* clowns paid. The remaining clowns paid X + 500. Hence the answer is $2,500 (Option D).
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a  [#permalink]

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New post 09 Jan 2018, 05:47
We have 15 clowns but 3 backed out, remaining 12 clowns paying.

Multiplying the $500 that each of 12 clowns had to increase their payment we have $ 6,000 total.
500 * 12 = 6,000

Dividing the result by the number of clowns that backed out we find $ 2,000 per clown, that is the value that each of 15 had to pay originally

6,000 / 3 = $ 2,000

Considering that they are already payng $ 2,000 and now have to pay $ 500 more, they will pay $ 2,500 at the end.
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Re: Fifteen clowns decided to contribute equal amounts of money to buy a &nbs [#permalink] 09 Jan 2018, 05:47
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