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02 Jan 2018, 23:43
00:00

Difficulty:

65% (hard)

Question Stats:

56% (02:26) correct 44% (02:21) wrong based on 84 sessions

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A roller coaster park offers two types of passes. Pass A costs $100 and entitles its holder up to 10 rides at no extra cost, and every ride in excess of 10 at a cost of$5 per ride. Pass B costs $10 and entitles its holder to one ride at no cost and each extra ride for$9. What is the least number of rides taken that would make Pass A a better deal than Pass B?

A. 13
B. 12
C. 11
D. 10
E. 9

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04 Jan 2018, 12:04
A .. for Ride A — after 13 rides 115 is total cost
For ride b — after 13 rides 118

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A roller coaster park offers two types of passes. Pass A costs $100 an [#permalink] ### Show Tags 04 Jan 2018, 15:32 Bunuel wrote: A roller coaster park offers two types of passes. Pass A costs$100 and entitles its holder up to 10 rides at no extra cost, and every ride in excess of 10 at a cost of $5 per ride. Pass B costs$10 and entitles its holder to one ride at no cost and each extra ride for $9. What is the least number of rides taken that would make Pass A a better deal than Pass B? A. 13 B. 12 C. 11 D. 10 E. 9 Answer choices can be used if setting up the inequality is difficult. Pass A:$100 for 10 rides; $5 each after 10 rides Pass B:$10 for 1 ride; $9 each after 1 ride Start with C to get a benchmark. Answer C) 11 rides Pass A: 10 rides =$100. +1 ride = $5 Pass A Total:$105
Pass B: 1 ride= $10. Plus 10 rides *$9 = $90 Pass B total:$100

11 rides is too few. Even at $9 per extra ride, for 11 rides, Pass B equals the cost of Pass A. We need more rides so that the$9 per ride vs. $5 per ride will have an effect (will make B more costly than A). Eliminate answers D and E Answer B) 12 rides Use Answer C cost for each (11 rides) + cost of one more ride (=12 rides) For A, cost of 11=$105, + $5*(1 more ride):$110
For B, cost of 11=$100, +$9*(1 more ride): $109 Pass B is still a better deal than Pass A. By POE, the answer is A. Check: Answer A) 13 rides For A, add$5 to cost in answer B (+1 ride): $115 For B, add$9 to cost in answer B: $118 Pass B cost > Pass A cost at 13 rides ANSWER A _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. There are only two ways to live your life: as though nothing is a miracle, or as though everything is a miracle. -- Einstein Director Joined: 09 Mar 2018 Posts: 999 Location: India Re: A roller coaster park offers two types of passes. Pass A costs$100 an  [#permalink]

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09 Feb 2019, 11:31
Bunuel wrote:
A roller coaster park offers two types of passes. Pass A costs $100 and entitles its holder up to 10 rides at no extra cost, and every ride in excess of 10 at a cost of$5 per ride. Pass B costs $10 and entitles its holder to one ride at no cost and each extra ride for$9. What is the least number of rides taken that would make Pass A a better deal than Pass B?

A. 13
B. 12
C. 11
D. 10
E. 9

Better deal would mean that the difference between Pass A and Pass B is the maximum for number of rides

Pass A, 10 free rides , after that $5 per ride Pass B, 1 free ride, after that$9 per ride

From C 105 to 109, difference is not that much

From A 100+15, Pass B = 10 + 14*9 = 136

So one will be able to enjoy more rides with Pass A
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