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

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Math Expert
Joined: 02 Sep 2009
Posts: 52152
The cost to rent a small boat for a fishing trip is z dollars, which  [#permalink]

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27 Dec 2017, 00:08
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:11) correct 23% (00:59) wrong based on 30 sessions

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The cost to rent a small boat for a fishing trip is z dollars, which is to be shared equally among the people taking the trip. If 8 people take the trip rather than 12, how many more dollars will it cost per person in terms of z?

A. 4z
B. z/3
C. z/24
D. 2z
E. z/4

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Joined: 07 Dec 2017
Posts: 867
Re: The cost to rent a small boat for a fishing trip is z dollars, which  [#permalink]

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27 Dec 2017, 00:48
Bunuel wrote:
The cost to rent a small boat for a fishing trip is z dollars, which is to be shared equally among the people taking the trip. If 8 people take the trip rather than 12, how many more dollars will it cost per person in terms of z?

A. 4z
B. z/3
C. z/24
D. 2z
E. z/4

We'll solve this with a straightforward calculation.
This is a Precise approach.

At first the price per person was z/12 and now it is z/8.
We're asked how many more dollars it would cost per person so we'll calculate the difference:
$$\frac{z}{8} - \frac{z}{12} = \frac{{12z-8z}}{{8*12}} = \frac{{4z}}{{8*12}} = \frac{z}{24}$$

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Joined: 24 Nov 2016
Posts: 152
Re: The cost to rent a small boat for a fishing trip is z dollars, which  [#permalink]

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28 Dec 2017, 02:36
Bunuel wrote:
The cost to rent a small boat for a fishing trip is z dollars, which is to be shared equally among the people taking the trip. If 8 people take the trip rather than 12, how many more dollars will it cost per person in terms of z?

A. 4z
B. z/3
C. z/24
D. 2z
E. z/4

$$Cost.After - Cost.Before=\frac{z}{8}-\frac{z}{12}=\frac{3z-2z}{24}=\frac{z}{24}$$

Re: The cost to rent a small boat for a fishing trip is z dollars, which &nbs [#permalink] 28 Dec 2017, 02:36
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