Question

A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $16.50 per pound should be mixed with 13 pound of trail mix costing $2.90 per pound to create a mixture worth $9.13. (round to the nearest pound)

Answer 1

11 pounds

Explanation:

Let x pounds of chocolate costing $16.50 per pound mixed with 13 pound of trail mix costing $2.90 per pound to create a mixture worth $9.13,

Thus, the total quantity of trail mix = ( x + 13 ) pounds,

Also, the cost price of x pounds of chocolate + cost price of 13 pounds of trail mix = cost price of resultant trail mix

∵ total cost = number of pounds × price per pound

⇒ 16.50x + 2.90(13) = 9.13(x+13)

⇒ 16.50x + 37.7 = 9.13x + 118.69

⇒ 16.50x - 9.13x = 118.69 - 37.7

⇒ 7.37x = 80.99

⇒ x = 10.989145 ≈ 11

Hence, 11 pounds of chocolate should be mix.