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A certain bushel of wheat generates one-third the profit of a bushel

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A certain bushel of wheat generates one-third the profit of a bushel [#permalink]

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New post 14 Jan 2018, 05:30
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A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5
[Reveal] Spoiler: OA

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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink]

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New post 14 Jan 2018, 05:54
Bunuel wrote:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


Let,
Profit of one bushel of wheat = 5
i.e. Profit of one bushel of corn = 15
i.e. Profit of one bushel of truffles = 12

Profit from truffle /profit from wheat = 12/5

Answer: Option E
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A certain bushel of wheat generates one-third the profit of a bushel [#permalink]

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New post 14 Jan 2018, 07:19
I'm having trouble understanding the last sentence.

I set up the equations in the following way:
(1) W=C/3 so W/C = 1/3
(2) C= 5T/4 so C/T = 5/4

to see the relationship between W and T, I multiply equation (1) by 5 and equation (2) by 3 to make C equal

You get W/C = 5/15 and C/T = 15/12 ...therefore W/T = 5/12

Now the last sentence says
Quote:
what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?
. Does this sentence mean what's W/T or T/W? I'm not sure if I'm interpreting the last sentence correctly.
A certain bushel of wheat generates one-third the profit of a bushel   [#permalink] 14 Jan 2018, 07:19
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A certain bushel of wheat generates one-third the profit of a bushel

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