Audrey runs a farm stand that sells apples and raspberries. Each pound of apples sells for $1.75 and each pound of raspberries sells for $1.25. Audrey made $124.50 from selling a total of 80 pounds of apples and raspberries. Write a system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of raspberries sold. Define the variables that you use to write the system.

Question

Audrey runs a farm stand that sells apples and raspberries. Each pound of apples sells for $1.75 and each pound of raspberries sells for $1.25. Audrey made $124.50 from selling a total of 80 pounds of apples and raspberries. Write a system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of raspberries sold. Define the variables that you use to write the system.

Answer
Attempt 1 out of 2

Let
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Let
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System of Equations:

Answer 1

Let x = number of pounds of apples sold

Let y = number of pounds of raspberries sold

The first equation represents the total number of pounds sold:
x + y = 80

The second equation represents the total amount of money made:
1.75x + 1.25y = 124.50