A store owner wants to develop a new snack mix by mixing chocolate and trail mix.

Question

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $16.10 per pound should be mixed with 15 pounds of trail mix costing $3.80 per pound to create a mixture worth $9.51 per pound.

Answer 1

16.1x + 3.80(15) = 9.51(x+15) = 9.51x + 142.65

16.1x - 9.51x = 142.65 - 57 = 85.65

x = 85.65/6.59 = 12.997 lbs of $16.10 chocolate

mixed with 15 lbs of $3.80 trail mix

yields 27.997 lbs of $9.51

about 13 pounds of chocolate

3.8 is within 5.71 of 9.51

16.1 is within 6.59 of 9.51

6.59/5.71 = 1.154

15/13 = 1.154