math question! please help!!

Question

Suppose you bought 8 mangoes and four apples for $20 and 3 mangoes and 6 apples for $16.50. What is a system of equations that represents the situation? how much does each mango and each apple cost?

Answer 1

8M +4A = 20

3M +6A = 16.50

24M +12A = 60

24M+48A = 8(16.5)= 132

48A-12A = 132-60

36A = 72

A = 72/36 = $2 for an Apple

M = (20-4(2))/8 = 12/8= $1.50 Mangos

check the answers:

3(1.5)+6(2) = 4.5+12 = 16.5

8(1.5) +4(2) = 12+8 = 20