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A certain brand of chewing gum can be purchased in only two

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A certain brand of chewing gum can be purchased in only two [#permalink] New post   02 Dec 2019, 02:56
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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


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.

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C
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luffy
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   02 Dec 2019, 07:09
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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
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   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.
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vyascd
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   21 Dec 2019, 21:15
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d3nboy wrote:
I have no solution that involves calculation. But if you're familiar with GRE, you can pretty much guess C straight away.



I don't think guessing is a good strategy. Even a single wrong can cause extreme damage, in some cases.
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   13 Jun 2022, 01:39
vyascd wrote:
d3nboy wrote:
I have no solution that involves calculation. But if you're familiar with GRE, you can pretty much guess C straight away.



I don't think guessing is a good strategy. Even a single wrong can cause extreme damage, in some cases.


Posted from my mobile device
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   13 Jun 2022, 04:31
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.87/.7=12.43
Thus 12 candies can be bought 1 at a time (can't buy a fraction of a candy)
.87/.30=2.9
So 2 bundles of 5 (10 candies) can be bought this way. 2(.30)=.60
.87-.60=.27
.27/.7=3.85
So 10+3=13 is the maximum that can be bought with .87
Since there is less than a difference of .7 (1 candy) between .87 and .85, we know that both maximums are equal
C
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Re: A certain brand of chewing gum can be purchased in only two [#permalink] New post   02 Nov 2023, 03:43
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A certain brand of chewing gum can be purchased in only two [#permalink]
02 Nov 2023, 03:43
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