A catering company mixes cooked shredded beef with roasted Anaheim chilies to use as the filling in their house specialty burrito. How many pounds of both shredded beef that sells for$6.63 per pound and chilies that sell for $1.62 per pound must be mixed to produce 95 pounds of the mixture, witch sells for $454.50? Let b represent the number of pounds of beef and c represent the number of pounds of chilies.
A) b = 35 pounds, c = 60 pounds
B) b = 60 pounds, c = 35 pounds
C) b = 70 pounds, c = 25 pounds
D) b = 25 pounds, c = 70 pounds

Question

Quizplus · Accepted Answer

The total cost of the mixture is $454.50 for 95 pounds, which means the average cost per pound is $4.78. Solving the system of equations: b + c = 95 and 6.63b + 1.62c = 454.50, we find b = 60 pounds and c = 35 pounds.

A Catering Company Mixes Cooked Shredded Beef with Roasted Anaheim