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If 12 cans of soda cost x dollars, then how much will y cans of soda

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LakerFan24
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If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Apr 2017, 10:47
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If 12 cans of soda cost x dollars, then how much will y cans of soda cost at this rate, in cents?

A) \(\frac{3xy}{25}\)

B) \(\frac{xy}{12}\)

C) \(\frac{3y}{25x}\)

D) \(\frac{25xy}{3}\)

E) \(\frac{12y}{x}\)
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Sumo23
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Apr 2017, 10:52
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x/12 ----> cost of per can of soda

Cost of y cans ---> x/12 . y .100 = 25xy/3

Hence D is the correct option

Sent from my GT-I9060I using GMAT Club Forum mobile app
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Apr 2017, 11:03
Sumo23 that's correct, but that was the OE given by Kaplan. have you tried solving by plugging in #s?
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Apr 2017, 22:26
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LakerFan24 wrote:
If 12 cans of soda cost x dollars, then how much will y cans of soda cost at this rate, in cents?

A) \(\frac{3xy}{25}\)

B) \(\frac{xy}{12}\)

C) \(\frac{3y}{25x}\)

D) \(\frac{25xy}{3}\)

E) \(\frac{12y}{x}\)


Check other Conversion problems to practice from our Special Questions Directory.
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   25 May 2017, 23:24
number of cans and cost vary directly with each other. 12 cans cost x dollars, let y cans cost 'z' dollars.

So we have 12/x = y/z or z = xy/12 dollars
Converting to cents (1$ = 100cents)
xy/12 * 100 = 25xy/3 cents

Hence answer is D
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Nov 2020, 07:37
LakerFan24 wrote:
If 12 cans of soda cost x dollars, then how much will y cans of soda cost at this rate, in cents?

A) \(\frac{3xy}{25}\)

B) \(\frac{xy}{12}\)

C) \(\frac{3y}{25x}\)

D) \(\frac{25xy}{3}\)

E) \(\frac{12y}{x}\)


\(12\) cans cost \(100x\) cents...
Or, \(1\) cans cost \(\frac{100x}{12}=\frac{25x}{3}\) cents...
So,\(y\) cans cost \(\frac{25xy}{3}\) cents... , Answer must be (D)
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink] New post   23 Nov 2020, 07:53
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CONCEPT: Unitary METHOD

12 cans cost $ “x”

One can costs $”x/12”

Thus y can costs $ “xy/12 *100” cents

[ 1$=100 cents]

=25/3 *xy cents (D)
Hope this helps. Keep studying. :)
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Re: If 12 cans of soda cost x dollars, then how much will y cans of soda [#permalink]
23 Nov 2020, 07:53
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