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The toll for crossing a certain bridge is $0.75 each crossin [#permalink] ### Show Tags 03 Jan 2011, 17:22 3 This post was BOOKMARKED 00:00 Difficulty: 75% (hard) Question Stats: 53% (03:11) correct 47% (01:52) wrong based on 317 sessions ### HideShow timer Statistics The toll for crossing a certain 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 this driver can save money by using the sticker?

A. 14
B. 15
C. 16
D. 28
E. 29
[Reveal] Spoiler: OA

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Ajit

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Re: The toll for crossing a certain bridge [#permalink]

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04 Jan 2011, 02:50
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ajit257 wrote:
The toll for crossing a certain 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 this driver can save money by using the sticker? A. 14 B. 15 C. 16 D. 28 E. 29 Cost for the driver for 2x (twice on each of x days) crosses without the sticker will be: $$2x*0.75$$; Cost for the driver for 2x (twice on each of x days) crosses with the sticker will be: $$13+2x*0.3$$; Question: what is the least value of $$x$$ for which $$13+2x*0.3<2x*0.75$$ --> $$x>14.4$$ --> $$x_{min}=15$$. Answer: B. _________________ Manager Joined: 21 Jul 2010 Posts: 56 Followers: 1 Kudos [?]: 23 [0], given: 3 Re: The toll for crossing a certain bridge [#permalink] ### Show Tags 04 Jan 2011, 00:03 I don't get this one. I would do for D. I plugged the number of the OA in my equation but it does not work for me. Anyone? Intern Joined: 21 Sep 2010 Posts: 17 Followers: 0 Kudos [?]: 1 [0], given: 0 Re: The toll for crossing a certain bridge [#permalink] ### Show Tags 04 Jan 2011, 08:16 Savings per crossings = 0.45 (.75-.30) Saving per crossing x 2 times (crossing bothways) x Number of days >=$13

(.45)2x>=13
.9x>=13
x>14.44

Xmin =15 days
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11 Feb 2013, 18:19
Option #1: $0.75/crossing....Cross twice a day =$1.5/day

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31 Oct 2014, 22:57
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30 Jan 2016, 05:04
Hello from the GMAT Club BumpBot!

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