MATH SOLVE

4 months ago

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

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