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 3 let equals= . let equals=

Answer 1

To find the number of pounds of blueberries and grapes sold, one must solve the system of linear equations with variables x for blueberries and y for grapes: 1x + 3.50y = 182.50 and y = x + 20.

Step-by-step explanation:

To determine the number of pounds of blueberries and grapes sold at Alang's farm stand, we can use a system of linear equations. Let's define the variables x to represent the number of pounds of blueberries sold and y to represent the number of pounds of grapes sold. It is given that each pound of blueberries sells for $1 and each pound of grapes sells for $3.50. Additionally, Alang sold 20 more pounds of grapes than pounds of blueberries, and made a total of $182.50.

With the information given, the system of equations to represent the scenario is:

1. 1x + 3.50y = 182.50 (Total revenue equation)
2. y = x + 20 (The relationship between pounds of grapes and blueberries)

These equations can be solved simultaneously to find the values of x and y.