The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of 2^1/2*x-x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60
Answers
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the answer is (E) 5.60
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Correct question:
- The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of √2 * x - x cents per day.
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Find:
- What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
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Calculations:
- √2 = 1.41 (Approx)
- 1.41 * x = 1.41x
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= 1.41x - x = 0.41x
= 3.20 + 5x = 520 - 0.41x
= 3.20 + 5 * 2.6/5.4
= 5.60 [Approx]
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Hence, Option (E) 5.60 is the approximate price when a bushel of corn costs the same amount as a peck of wheat.
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