Alang runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $1 and each pound of grapes sells for $3.50. Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.

Question

Alang runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $1 and each pound of grapes sells for $3.50. Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.

Answer
Attempt 1 out of 2

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System of Equations:

Answer 1

Let x = pounds of blueberries sold.

Let y = pounds of grapes sold.

Equation 1: x + y = 20
This equation represents the fact that Alang sold 20 more pounds of grapes than pounds of blueberries.

Equation 2: 1x + 3.50y = 182.50
This equation represents the total amount of money Alang made from selling blueberries and grapes, which is $182.50.

The system of equations is:
x + y = 20
1x + 3.50y = 182.50