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The rental charge for a car is 34 cents for the first 1/4

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The rental charge for a car is 34 cents for the first 1/4 [#permalink] New post 16 Jun 2007, 22:17
The rental charge for a car is 34 cents for the first

1/4 mile driven and 6 cents for every 1/5 mile driven

over the initial 1/4 mile. If a man paid $1.24 in

rental charge, how many miles did he drive?
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 [#permalink] New post 16 Jun 2007, 22:22
extra amt he paid over the initial 34c = 1.24 - 0.34 = 90c

total number of 1/5 miles driven = 90/6 => 15

tot dist = 1/4 + 15x(1/15) = 13/4 miles
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 [#permalink] New post 17 Jun 2007, 07:09
Ans: 13/4 miles.

0.34 + 0.06 *1/5 X = 1.34

==> 0.06 * X/5 = 0.09

==> X = 15

So one 1/4 th mile + 15 1/5th miles = 1/4+3 = 13/4 miles
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 [#permalink] New post 17 Jun 2007, 08:10
I was trying to write a single equation in which I could solve for 'x', for example, and have my complete answer.

I couldn't write one and I feel defeated.

Can anyone write a single equation I can solve that results in 13/4?

Thanks.
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Re: Rental Car [#permalink] New post 18 Jun 2007, 09:34
ethan_casta wrote:
The rental charge for a car is 34 cents for the first

1/4 mile driven and 6 cents for every 1/5 mile driven

over the initial 1/4 mile. If a man paid $1.24 in

rental charge, how many miles did he drive?


34 + 6(5)(x-0.1/4)=124

x - 1/4 =90/30 = 3

x= 3 + 1/4
Re: Rental Car   [#permalink] 18 Jun 2007, 09:34
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