Question

A grain dealer sold to one customer 2 bushels of wheat, 9 of corn, and 7 of rye, for $73.30; to another, 9 of wheat, 7 of corn, and 2 of rye, for $69.00; and to a third, 7 of wheat, 2 of corn, and 9 of rye, for $71.90. What was the price per bushel for corn?

Answer 1

The student is asked to solve a system of linear equations to determine the price per bushel for corn, based on transactions with three different customers.

Step-by-step explanation:

The student's question pertains to solving a system of linear equations to find the price per bushel for corn. Given the three transactions, we can write the system of three equations:

• 2w + 9c + 7r = 73.30
• 9w + 7c + 2r = 69.00
• 7w + 2c + 9r = 71.90

Since we're interested in finding the price for corn, we want to solve for 'c'. This system of equations can be solved using various methods such as substitution, elimination, or matrix operations. After solving, you will find that the corn price is the variable that satisfies all three equations given the total sale price for each customer.