A grain dealer sold to one customer 2 bushels of wheat, 9 of corn, and 6 of rye for $45.20; to another, 9 of wheat, 6 of corn, and 2 of rye for $35.60; and to a third, 6 of wheat, 2 of corn, and 9 of rye for $45.00. What was the price
Per bushel for corn?
A) $2.10
B) $3.40
C) $2.40
D) $1.60

Question

Quizplus · Accepted Answer

The problem can be solved by setting up a system of equations based on the information given and solving for the price per bushel of corn. Let w, c, and r represent the prices per bushel of wheat, corn, and rye, respectively. The equations based on the transactions are:1. 2w + 9c + 6r = 45.202. 9w + 6c + 2r = 35.603. 6w + 2c + 9r = 45.00Solving this system of equations, we find that c (the price per bushel of corn) is $2.40.

A Grain Dealer Sold to One Customer 2 Bushels of Wheat