Question

Mr. Sanchez’s class sold fruit pies for $1.45 each and Mr. Kelly’s class sold bottles of fruit juice for $1.25 each. Together, the classes sold 53 items and earned $70.85 for their school.

Write and solve a system of equations that model the problem. Show all your work.
Which class earned more money?
How much more money did that class earn?

Answer 1

Let x be mr sanchez
Let y be mr kelly

1.45x + 1.25y = 70.85
x + y = 53

x = 53 - y

1.45(53 - y) + 1.25y = 70.85
y = 30

sanchez sold 23 while kelly sold 30
sanchez: 1.45(23) = $33.35

kelly: 1.25(30) = $37.5

therefore kelly earned more
kelly earned $4.15 dollars more (37.5-33.35)