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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

Answer :

the answer is  (E) 5.60

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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