Gail bought 5 pounds of oranges and 2 pounds of bananas for $14. Her husband later bought 3 pounds of oranges and 6 pounds of bananas for $18. What was the cost per pound of the oranges and bananas?

Answer 1

5O + 2B = 14

3O + 6B = 18

-3*eq1 + eq2:

-12O = -24

O = 2

which forces B=2

so they both cost $2 per pound