High School

Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and made $135 altogether.

Graphically solve a system of equations to determine the number of pounds of strawberries sold, \( x \), and the number of pounds of bananas sold, \( y \).

Answer :

9514 1404 393

Answer:

  • 40 lb strawberries
  • 10 lb bananas

Step-by-step explanation:

See below for the graph of the equations ...

3x +1.50y = 135 . . . . total from sales

x = 4y . . . . . . . . . . . . strawberry pounds are 4 times banana pounds

The solution is ...

(x, y) = (40, 10)

40 pounds of strawberries and 10 pounds of bananas were sold

Answer: There were 40 pounds of strawberries sold and 10 pounds of bananas sold.

Step-by-step explanation:

x=the number of pounds of strawberries sold

y=the number of pounds of bananas sold

3x+1.50y=135 (0,90) (45,0)

x=4y (20,5) (40,10)

(40,10)