Question

Mr. Sanchez’s class sold fruit pies for $1.32 each and Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. Together, the classes sold 90 items and earned $140.40 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?

Answer 1

Answer:

Part a)

The quantity of fruit pies sold was $42$

The quantity of juice bottles sold was $48$

Part b) Mr. Kelly’s class earned more money

part c) $\ 29.52$

Step-by-step explanation:

Part a)

Let

x-----> quantity of fruit pies sold

y----> quantity of juice bottles sold

we know that

$x+y=90$

$x=90-y$ -----> equation A

$1.32x+1.77y=140.40$ ----> equation B

substitute equation A in equation B

$1.32(90-y)+1.77y=140.40$

$118.8-1.32y+1.77y=140.40$

$0.45y=140.40-118.8$

$0.45y=21.6$

$y=48$ bottles of fruit juice

Find the value of x

$x=90-y$ ------> $x=90-48=42$ fruit pies

Part b) Which class earned more money?

Mr. Sanchez’s class

$\ 1.32x=1.32*42=\ 55.44$

Mr. Kelly’s class

$\ 1.77y=1.77*48=\ 84.96$

therefore

Mr. Kelly’s class earned more money

Part c) How much more money did that class earn?

Find the difference

$\ 84.96-\ 55.44=\ 29.52$