how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that sells for $15 per pound?

Question

how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that sells for $15 per pound?

Answer 1

x represents the amount of $12

70 - x represents the amount of $19

19(70 - x) + 12x = 15(70)

1330 - 19x + 12x = 1050

-7x = -280

x = 40