Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. 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

Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. 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 1

Let's define two variables to represent the number of pounds of blueberries and grapes sold:

Let x be the number of pounds of blueberries sold.
Let y be the number of pounds of grapes sold.

Now, let's set up the equations based on the information given:

The first equation represents the total amount of money made from selling blueberries and grapes:
2.50x + 1.25y = 55

The second equation represents the total number of pounds of blueberries and grapes sold:
x + y = 33

So, the system of equations can be written as:

2.50x + 1.25y = 55
x + y = 33