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

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`

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`