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Math Expert V
Joined: 02 Sep 2009
Posts: 55613
The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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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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CrackVerbal Representative B
Joined: 13 May 2019
Posts: 69
Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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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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Concentration: Sustainability, Marketing
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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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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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SVP  V
Joined: 26 Mar 2013
Posts: 2229
Re: The cost to rent a boat for a fishing trip is x dollars, which is to  [#permalink]

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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

Target Test Prep Representative D
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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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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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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. 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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