37.6k views
5 votes
How much candy costing $8 a pound should be mixed with 6 pounds of candy costing $10 a pound to create a mixture costing $8.50 a pound?

User Ben Gubler
by
5.7k points

1 Answer

7 votes
Qty ยท Cost = Total
Candy 1: x $8 = 8x
Candy 2: 6 $10 = 10(6)
Mixture: x + 6 $8.5 = 8x + 10(6)

(x + 6)(8.5) = 8x + 60
8.5x + 51 = 8x + 60
.5x = 9
x = 18

Answer: 18 lbs


User Gdh
by
6.0k points