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 1

To determine the number of pounds of apples and raspberries sold, we can write a system of equations.

Step-by-step explanation:

To 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, we can define two variables:

Let x represent the number of pounds of apples sold.

Let y represent the number of pounds of raspberries sold.

Based on the given information, we can write the following equations:

1.75x + 1.25y = 124.50

This equation represents the total revenue from selling apples and raspberries, which is equal to $124.50.

x + y = 80

This equation represents the total quantity of apples and raspberries sold, which is equal to 80 pounds.

Answer 2

Answer: x + y = 180

1.75x + 1.25y = 124.50.

Hence, two equations can be derived for the given situations which are x + y = 180 and 1.75x + 1.25y = 124.50.

Step-by-step explanation: