Q:

PLEASE HELP 50 POINTS Jason bought 5 apples and 12 peaches for a total of $8.78. Leah bought 7 apples and 8 peaches for $7.98. How much are apples and peaches? show work

Accepted Solution

A:

5a + 12p = $8.78 (1st)
7a + 8p = $7.98   (2nd)

multiply (1st) equation by 7 and (2nd) equation by 5

35a + 84p = $61.46 (1st)
35a + 40p = $39.90   (2nd)
-----------------------------------------subtract
         44p = $21.56
             p = $0.49

5a + 12p = $8.78
5a + 12($0.49) = $8.78
5a + $5.88 = $8.78
             5a = $2.9
               a = $0.58

answer

apple is $0.58 each
peach is $0.49 each