Question

Pam bought 20 pieces of fruit for her class.

o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answer 1

1.25x+0.95y=22.60

x is apples y is oranges

Explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

Answer 2

Explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.