Candy mixing problem

Question

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $19.10 per pound should be mixed with 25 pounds of trail mix costing $3.90 per pound to create a mixture worth $9.60 per pound.

Answer 1

I will define c = pounds of chocolate used.

Weight of snack mix = c + 25. (25 pounds of trail mix used!)

Also note that chocolate is $19.1/pound, trail mix is $3.9/pound, and the snack mix total is $9.6/pound.

Set up equation:

So 19.1c + 3.9 (25) = 9.6 (c + 25)

Solve:

19.1c + 97.5 = 9.6c + 240

9.6 c = 142.5

c = 14.84 pounds