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# The cost to rent a boat for a fishing trip is x dollars, which is to

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Math Expert
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Posts: 55613
The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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15 May 2019, 21:52
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Difficulty:

15% (low)

Question Stats:

82% (01:01) correct 18% (01:32) wrong based on 28 sessions

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The cost to rent a boat for a fishing trip is x dollars, which is to be shared equally among the people taking the trip. If 12 people go on the trip rather than 20, how many more dollars, in terms of x, will it cost per person?

A. $$\frac{x}{8}$$

B. $$\frac{x}{12}$$

C. $$\frac{x}{16}$$

D. $$\frac{x}{20}$$

E. $$\frac{x}{30}$$

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Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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16 May 2019, 00:30
When 20 people planned to rent the boat:

Cost per person = $$\frac{x}{20}$$

When 12 people planned to rent the boat:

Cost per person = $$\frac{x}{12}$$

The difference in the cost per person = $$\frac{x}{12}$$ - $$\frac{x}{20}$$ = $$\frac{5x}{60}$$ - $$\frac{3x}{60}$$ = $$\frac{2x}{60}$$ = $$\frac{x}{30}$$

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Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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16 May 2019, 01:22
actual cost of trip per person ; x/20
and cost as for 12 person ; x/12
so
extra amount to be paid
x/12-x/20 ; x/30
IMO E

Bunuel wrote:
The cost to rent a boat for a fishing trip is x dollars, which is to be shared equally among the people taking the trip. If 12 people go on the trip rather than 20, how many more dollars, in terms of x, will it cost per person?

A. $$\frac{x}{8}$$

B. $$\frac{x}{12}$$

C. $$\frac{x}{16}$$

D. $$\frac{x}{20}$$

E. $$\frac{x}{30}$$

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Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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18 May 2019, 18:39
Bunuel wrote:
The cost to rent a boat for a fishing trip is x dollars, which is to be shared equally among the people taking the trip. If 12 people go on the trip rather than 20, how many more dollars, in terms of x, will it cost per person?

A. $$\frac{x}{8}$$

B. $$\frac{x}{12}$$

C. $$\frac{x}{16}$$

D. $$\frac{x}{20}$$

E. $$\frac{x}{30}$$

Let the cost = 240

In case of 20 persons, cost per person = 12

In case of 12 persons, cost per person = 20

Difference = 8

Apply in each answer choice, only one fits

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Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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19 May 2019, 20:05
Bunuel wrote:
The cost to rent a boat for a fishing trip is x dollars, which is to be shared equally among the people taking the trip. If 12 people go on the trip rather than 20, how many more dollars, in terms of x, will it cost per person?

A. $$\frac{x}{8}$$

B. $$\frac{x}{12}$$

C. $$\frac{x}{16}$$

D. $$\frac{x}{20}$$

E. $$\frac{x}{30}$$

The cost per person if 12 people go on the trip is x/12, and the cost per person if 20 people go on the trip is x/20. Therefore, the difference is:

x/12 - x/20 = 5x/60 - 3x/60 = 2x/60 = x/30

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Re: The cost to rent a boat for a fishing trip is x dollars, which is to   [#permalink] 19 May 2019, 20:05
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