Question

Dominic runs a farm stand that sells peaches and grapes. Yesterday Dominic sold 34 pounds of peaches and 45 pounds of grapes for a total revenue of $192.25. Today he sold 47 pounds of peaches and 16 pounds of grapes for a total revenue of $208. Write a system of equations that could be used to determine the price of each pound of peaches and the price of each pound of grapes. Define the variables that you use to write the system.

Answer 1

34x + 45y = 192.25

47x + 16y = 208

Explanation:

Let x stand for peaches.

Let y stand for grapes.

Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.

We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.