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The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

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The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6 (B) x/10 (C) x/16 (D) 3x/40 (E) 3x/80

For 16 people, the cost per person = x/16; For 10 people, the cost per person = x/10;

The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6 (B) x/10 (C) x/16 (D) 3x/40 (E) 3x/80

For 16 people, the cost per person = x/16; For 10 people, the cost per person = x/10;

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

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11 Jun 2014, 13:52

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Let X be 80: 80/10=8 and 80/16=5 the difference is 8-5=3 Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3
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BrainLab wrote:

Let X be 80: 80/10=8 and 80/16=5 the difference is 8-5=3 Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3

TAKE LCM OF 10 AND 16 IT WILL COME OUT TO 80 ...NOW TAKE X AS 80 .... PUT VALUES IN THE ABOVE EQUATION .. I THINK THIS IS THE SIMPLEST APPROACH

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26 Mar 2017, 12:50

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

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23 Aug 2017, 23:52

More people, the less you spend.

Question asks "how many more dollars, in terms of x". Meaning you have to subtract the lesser value from the more value.

1. x / 16 - x/10 2. Create equal denominators ---> 10x / 160 - 16x/160 ---> swap the position of the fraction so no negative ---> 16x/160 - 10x/160 = 6x/160 = 3x/80

The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6 (B) x/10 (C) x/16 (D) 3x/40 (E) 3x/80

The cost per person is x/10 if 10 people share the ride. Similarly, the cost per person is x/16 if 16 people share the ride. Thus, the difference is:

x/10 - x/16 = 8x/80 - 5x/80 = 3x/80

Answer: E
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