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The toll for crossing the bridge is $0.75 each crossing.

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Manager
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Joined: 23 Mar 2008
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The toll for crossing the bridge is $0.75 each crossing. [#permalink] New post 01 May 2008, 20:28
The toll for crossing the bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which thius driver can save money using the sticker?

a) 14
b) 15
c) 16
d) 28
e) 29
Intern
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Re: bridge [#permalink] New post 01 May 2008, 20:49
I got B:15, as

(.75x)(2) is the cost without sticker
and it must be greater than
13 + (.3x)(2) - cost with sticker *First time I solved, forgot to multiple .3 by two and got way off

so the equation would be:

(.75x)(2) > 13 + (.3x)(2)
1.5x > 13 + .6x
.9x>13
9x>130
x> 14.4444
x=15
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Re: bridge [#permalink] New post 02 May 2008, 09:33
1.5X = .6x + 13

x= 130/9

14.4
atleast 15 days to make profit
B
Re: bridge   [#permalink] 02 May 2008, 09:33
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The toll for crossing the bridge is $0.75 each crossing.

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