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)
Accepted Solution
A:
Answer:11 poundsStep-by-step 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 ≈ 11Hence, 11 pounds of chocolate should be mix.