Question

A bag of 8 baseballs and 2 basketballs weighed 80 ounces a bag of 5 baseballs and 3 basketballs weighed 85 ounces how much does each type of ball weigh

Answer 1

x = baseball
y = basketball

8x + 2y = 80
4x + y = 40
y = 40 - 4x ------(1)

5x + 3y = 85 -------(2)
sub (1) into (2)
5x + 3(40 - 4x) = 85
5x + 120 - 12x = 85
5x - 12x = 85 - 120
-7x = -35
x = 5

sub x=5 into (1)
y = 40 - 4(5)
= 40 - 20
=20