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One week a certain truck rental lot had a total of 20

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Director
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One week a certain truck rental lot had a total of 20 [#permalink] New post 03 Sep 2005, 05:09
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One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on th elot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?

A. 18
B. 16
C. 12
D. 8
E. 4

Please explain your logic. Thanks!
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Cheers, Rahul.

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Re: PS word problem [#permalink] New post 03 Sep 2005, 17:05
1. suppose if 10 trucks were rented, no of trucks on that saturday morining = 10+5(50% of 10) = 15

2. suppose if 12 trucks were rented, no of trucks on that saturday morining = 8+6(50% of 12) = 14

3. suppose if 14 trucks were rented, no of trucks on that saturday morining = 6+7(50% of 14) = 13

4. suppose if 16 trucks were rented, no of trucks on that saturday morining = 4+8(50% of 16) = 12

so the company should have rented 16 trucks in that week.
Director
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 [#permalink] New post 09 Sep 2005, 18:51
Im still terribly confused! Can someone again explain pls?
Thanks a ton!
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Manager
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 [#permalink] New post 09 Sep 2005, 19:19
I think the easiest way to understand this problem is by making an equation.

let x = number of trucks rented out.

20-x+(x/2)>=12 [ 20 trucks - number of trucks rented out + 50 % of number of trucks rented out returned >= atleast 12 trucks]

-x/2>=-8

or x<=16

therefore the maximum number of trucks which could have been rented out is 16.
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 [#permalink] New post 10 Sep 2005, 09:11
no need to write anymore than what chets put down. good job!
  [#permalink] 10 Sep 2005, 09:11
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One week a certain truck rental lot had a total of 20

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