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
Is there a strategic approach to this question? Can any experts help?
A certain bushel of wheat generates one-third the profit of
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Notice your fractions are 1/3 and 5/4. So let's pick a value for the profit from truffles that's a multiple of the denominators, 4 and 3.ardz24 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
Is there a strategic approach to this question? Can any experts help?
Profit from truffles = 12
Profit from corn = (5/4) * 12 = 15
Profit from wheat = (1/3) * 15 = 5.
Wheat/truffles = 5/12. The answer is A
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Ratios can be MULTIPLIED.ardz24 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
wheat/truffles = (wheat/corn) * (corn/truffles).
In the equation above, the values in red CANCEL OUT.
Since wheat/corn = 1/3 and corn/truffles = 5/4, we get:
wheat truffles = (1/3)(5/4) = 5/12.
The correct answer is A.
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We can let the profit from a bushel of wheat, corn, and truffles = W, C, and T, respectively, and create the following equations:BTGmoderatorAT 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
Is there a strategic approach to this question? Can any experts help?
W = C/3
and
C = 5T/4
4C = 5T
4C/5 = T
Thus, W/T = (C/3)/(4C/5) = 5C/12C = 5/12.
Answer: A
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HiBTGmoderatorAT 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
Is there a strategic approach to this question? Can any experts help?
I believe OA is wrong and even the explanation on the same by above members too is a bit flawed. It happens so because the words 'what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?' is being read wrongly.
A certain bushel of wheat generates one-third the profit of a bushel of corn. -- Let the profit from corn be x, so profit from wheat = x/3.
If a bushel of corn generates five-fourths the profit of a bushel of truffles, -- Now profit from corn is x, so profit from truffles will be (4x/5).
what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles? OR
read it
Profit from truffles is A of profit from wheat ------- 4x/5=A*x/3.....A=12x/5x=12/5
So answer is E and NOT A...