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A certain brand of chewing gum can be purchased in only two
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02 Dec 2019, 02:56
02 Dec 2019, 02:56
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Question Stats:
50% (01:44) correct
50% (01:24) wrong based on 32 sessions
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A certain brand of chewing gum can be purchased in only two ways:
1 piece at a time at 7 cents a piece
5 pieces at a time at 30 cents for the 5 pieces
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
1 piece at a time at 7 cents a piece
5 pieces at a time at 30 cents for the 5 pieces
Quantity A |
Quantity B |
The greatest number of pieces of this gum that can be purchased with 87 cents |
The greatest number of pieces of this gum that can be purchased with 82 cents |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: A certain brand of chewing gum can be purchased in only two
[#permalink]
02 Dec 2019, 07:09
02 Dec 2019, 07:09
1
My approach was as below (a bit lengthy)
Quantity A:
To spend 87 cents you can have the following distribution
(30*0,7*12) -> 0+12 = 12 pieces
(30*1,7*6) -> 1*5 + 8 = 13 pieces
(30*2,7*3) -> 2*5 + 3 = 13 pieces
So the maximum is 13 pieces
Quantity B:
To spend 82 cents you can have the following distribution
(30*0,7*11) -> 0+11 = 11 pieces
(30*1,7*7) -> 1*5 + 7 = 12 pieces
(30*2,7*3) -> 2*5 + 3 = 13 pieces
So the maximum is 13 pieces
So option C.. QA = QB
Quantity A:
To spend 87 cents you can have the following distribution
(30*0,7*12) -> 0+12 = 12 pieces
(30*1,7*6) -> 1*5 + 8 = 13 pieces
(30*2,7*3) -> 2*5 + 3 = 13 pieces
So the maximum is 13 pieces
Quantity B:
To spend 82 cents you can have the following distribution
(30*0,7*11) -> 0+11 = 11 pieces
(30*1,7*7) -> 1*5 + 7 = 12 pieces
(30*2,7*3) -> 2*5 + 3 = 13 pieces
So the maximum is 13 pieces
So option C.. QA = QB
Re: A certain brand of chewing gum can be purchased in only two
[#permalink]
16 Dec 2019, 06:42
16 Dec 2019, 06:42
I have no solution that involves calculation. But if you're familiar with GRE, you can pretty much guess C straight away.
