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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Let
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System of Equations:

Answer 1

Let x be the number of pounds of blueberries sold.

Let y be the number of pounds of grapes sold.

The first equation represents the total revenue from selling blueberries and grapes:
1x + 3.50y = 182.50

The second equation represents the relationship between the number of pounds of grapes and blueberries sold:
y = x + 20

So, the system of equations is:
1x + 3.50y = 182.50
y = x + 20