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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?

Respuesta :

calculista

Answer:

Part a)

The quantity of fruit pies sold was [tex]42[/tex]

The quantity of juice bottles sold was [tex]48[/tex]

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

part c) [tex]\$29.52[/tex]

Step-by-step explanation:

Part a)

Let

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

y----> quantity of juice bottles sold

we know that

[tex]x+y=90[/tex]

[tex]x=90-y[/tex] -----> equation A

[tex]1.32x+1.77y=140.40[/tex] ----> equation B

substitute equation A in equation B

[tex]1.32(90-y)+1.77y=140.40[/tex]

[tex]118.8-1.32y+1.77y=140.40[/tex]

[tex]0.45y=140.40-118.8[/tex]

[tex]0.45y=21.6[/tex]

[tex]y=48[/tex] bottles of fruit juice

Find the value of x

[tex]x=90-y[/tex] ------> [tex]x=90-48=42[/tex] fruit pies

Part b) Which class earned more money?

Mr. Sanchez’s class

[tex]\$1.32x=1.32*42=\$55.44[/tex]

Mr. Kelly’s class

[tex]\$1.77y=1.77*48=\$84.96[/tex]

therefore

Mr. Kelly’s class earned more money

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

Find the difference

[tex]\$84.96-\$55.44=\$29.52[/tex]

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