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M24-04

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M24-04 [#permalink]

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New post 16 Sep 2014, 01:20
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The price of Mixture A is $2 per gallon and the price of Mixture B is $5 per gallon. Is $9 enough to buy \(x\) gallons of Mixture A and \(y\) gallons of Mixture B?


(1) The ratio of \(x\) to \(y\) is 2 to 1

(2) $10 is NOT enough to buy \(2x\) gallons of Mixture A and \(\frac{y}{2}\) gallons of Mixture B
[Reveal] Spoiler: OA

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Re M24-04 [#permalink]

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New post 16 Sep 2014, 01:20
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Official Solution:


The question asks whether \(2x+5y\leq{9}\).

(1) The ratio of \(x\) to \(y\) is 2 to 1. This implies that \(\frac{x}{y}=\frac{2}{1}\) or that \(x=2y\). Thus the question becomes: is \(2*2y+5y\leq{9}\) or is \(y\leq{1}\). Since we don't know that, then this statement is not sufficient.

(2) $10 is NOT enough to buy \(2x\) gallons of Mixture A and \(\frac{y}{2}\) gallons of Mixture B. So, we are told that \(2*2x+5*\frac{y}{2} \gt 10\), or that \(8x+5y \gt 20\). If \(x=0\) and \(y=5\), then the answer is NO (\(2x+5y>{9}\)) but if \(x=3\) and \(y=0\), then the answer is YES (\(2x+5y\leq{9}\)). Not sufficient.

(1)+(2) From (1) we know that \(x=2y\). Substitute this in (2): \(8*(2y)+5y \gt 20\), from which we can get that \(y \gt \frac{20}{21}\). But this is still not sufficient to say whether \(y\leq{1}\). Not sufficient.


Answer: E
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Re: M24-04 [#permalink]

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New post 25 Dec 2015, 01:58
a very GMAT like question
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Re: M24-04 [#permalink]

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New post 03 Jan 2018, 13:15
The price of Mixture A is $2 per gallon and the price of Mixture B is $5 per gallon. Is $9 enough to buy xx gallons of Mixture A and yy gallons of Mixture B?
(1) The ratio of xx to yy is 2 to 1

(2) $10 is NOT enough to buy 2x2x gallons of Mixture A and y2y2 gallons of Mixture B


What is the reason this cannot be a C?

if the ratio is 2 to 1 (st 1) and that you cannot buy that much for 10 (less than 10$ can be 9) why cannott it be 2*2 + 1*5 = 9?

please help me understand
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Re: M24-04 [#permalink]

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New post 11 Apr 2018, 02:54
+1 for option E
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Re: M24-04 [#permalink]

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New post 11 Apr 2018, 02:59
BobsterGMAT wrote:
The price of Mixture A is $2 per gallon and the price of Mixture B is $5 per gallon. Is $9 enough to buy xx gallons of Mixture A and yy gallons of Mixture B?
(1) The ratio of xx to yy is 2 to 1

(2) $10 is NOT enough to buy 2x2x gallons of Mixture A and y2y2 gallons of Mixture B


What is the reason this cannot be a C?

if the ratio is 2 to 1 (st 1) and that you cannot buy that much for 10 (less than 10$ can be 9) why cannott it be 2*2 + 1*5 = 9?

please help me understand


What st 2 means is that you can't buy that amount for an amount less than 10. In other words, it will cost you more than 10 and not less than 10 (or 9 as you have assumed)
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Re: M24-04   [#permalink] 11 Apr 2018, 02:59
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