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# A candy company sells premium chocolate at \$5 per pound and regular ch

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Current Student
Joined: 12 Aug 2015
Posts: 2621
Schools: Boston U '20 (M)
GRE 1: Q169 V154
A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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Updated on: 16 Apr 2016, 07:53
1
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:16) correct 14% (01:54) wrong based on 48 sessions

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A candy company sells premium chocolate at \$5 per pound and regular chocolate at \$4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him \$31, how many pounds of premium chocolates are in the box?

[A] 1
[B] 2
[C] 3
[D] 4
[E] 5

P.S => Bit modified..

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Originally posted by stonecold on 16 Apr 2016, 05:56.
Last edited by stonecold on 16 Apr 2016, 07:53, edited 1 time in total.
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Joined: 02 Aug 2009
Posts: 7334
Re: A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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16 Apr 2016, 06:12
2
stonecold wrote:
A candy company sells premium chocolate at \$5 per pound and regular chocolate at \$4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him \$31, how many pounds of premium chocolates are in the box?

[A] 1
2
[C] 3
[D] 4
[E] 5

P.S => Bit modifies..

let the number of premium be P and number of regular be R...
so 5P + 4R =31...
[b]clearly P has to ODD to make LHS Odd..
so P can take 1,3,5..
lets check for which values is R an integer..

when P=1
5+4R=31..
4R = 26.. NOT possible

when P=3
5*3+ 4R = 31
4R = 31-15 = 16
R = 4..
Ok

so ans is 3
C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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18 Apr 2016, 16:36
1
This question is a bit of Special equations with a single set of unique values.

the Equation stands : 5X + 4Y = 31

Subtract multiple of 5 from 31 and check whether the remaining total is divisible by 4

31 - 5 = 26 -> Not divisible by 4
31 - 10 = 21 -> Not divisible by 4
31 - 15 =16 -> Divisible by 4
31 - 20 =11 -> Not divisible by 4
31 - 25 =6 -> Not divisible by 4
31 - 30 =1 -> Not divisible by 4
Any multiple of 5 hereon will give a negative value for regular chocolates bought and hence, inadmissible

Thus Amount spent on regular chocolate= \$16
Amount spent on Premium chocolate= \$15
Price per premium chocolate = \$5
No. Of boxes of premium chocolate bought = 15 / 5 = 3
Correct Option : C
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Re: A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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18 Apr 2016, 21:21
stonecold wrote:
A candy company sells premium chocolate at \$5 per pound and regular chocolate at \$4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him \$31, how many pounds of premium chocolates are in the box?

[A] 1
[B] 2
[C] 3
[D] 4
[E] 5

P.S => Bit modified..

Check out a discussion of this concept here: http://www.veritasprep.com/blog/2011/06 ... -of-thumb/
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Karishma
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Joined: 10 Apr 2016
Posts: 55
Concentration: Strategy, Entrepreneurship
GMAT 1: 520 Q29 V30
GPA: 3.01
Re: A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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19 Apr 2016, 10:25
Obviously, sum of both is 15 and 16, divised by prices of 5 and 4.

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Re: A candy company sells premium chocolate at \$5 per pound and regular ch  [#permalink]

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23 Dec 2017, 03:40
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A candy company sells premium chocolate at \$5 per pound and regular ch   [#permalink] 23 Dec 2017, 03:40
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