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Suppose you have a collection of 1 cent, 5 cent, 10 cent, 25 cent, and

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6973
GMAT 1: 760 Q51 V42
GPA: 3.82
Suppose you have a collection of 1 cent, 5 cent, 10 cent, 25 cent, and  [#permalink]

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20 Dec 2017, 01:03
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Difficulty:

35% (medium)

Question Stats:

68% (01:55) correct 32% (01:54) wrong based on 55 sessions

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[GMAT math practice question]

Suppose you have a collection of 1 cent, 5 cent, 10 cent, 25 cent, and 50 cent coins. If you make 50 cents with these coins, which of the following could be the total number of coins used?

I. 41
II. 31
III. 26

A. I only
B. II only
C. III only
D. I & III
E. II & III

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6973 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Suppose you have a collection of 1 cent, 5 cent, 10 cent, 25 cent, and [#permalink] Show Tags 20 Dec 2017, 23:46 => Let $$a, b, c, d$$ and $$e$$ be the numbers of 1 cent, 5 cent, 10 cent, 25 cent and 50 cent coins, respectively. Then $$a + 5b + 10c + 25d + 50d = 50.$$ The possible numbers of each coin are as follows: (a,b,c,d,e) = (50,0,0,0,0) : 50 coins (a,b,c,d,e) = (45,1,0,0,0) : 46 coins (a,b,c,d,e) = (40,2,0,0,0) : 42 coins (a,b,c,d,e) = (40,0,1,0,0) : 41 coins (a,b,c,d,e) = (35,1,1,0,0) : 37 coins (a,b,c,d,e) = (30,2,1,0,0) : 33 coins (a,b,c,d,e) = (30,0,2,0,0) : 32 coins (a,b,c,d,e) = (25,1,2,0,0) : 28 coins (a,b,c,d,e) = (25,0,0,1,0) : 26 coins Only 41 and 26 are in this list. Therefore, the answer is D. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: Suppose you have a collection of 1 cent, 5 cent, 10 cent, 25 cent, and   [#permalink] 20 Dec 2017, 23:46
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