Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 19 pounds of feed worth $0.76 per pound by mixing one kind worth $0.41 per pound with another worth $0.96 per pound. How many pounds of The cheaper kind should they use in the mix?
A)17 pounds
B)12 pounds
C)7 pounds
D)9 pounds

Question

Quizplus · Accepted Answer

To solve this problem, we can use the concept of weighted averages. Let $ x $ be the amount of the cheaper feed ($0.41 per pound) and $ 19 - x $ be the amount of the more expensive feed ($0.96 per pound). The total cost of the mix should equal the cost of the individual parts, so we set up the equation:$$ 0.41x + 0.96(19 - x) = 0.76 \times 19 $$Solving for $ x $:$$ 0.41x + 18.24 - 0.96x = 14.44 $$$$ -0.55x = -3.8 $$$$ x = \frac{-3.8}{-0.55} = 6.909 $$Rounding to the nearest whole number, we get 7 pounds.

Solve the Problem. -Tim and Judy Mix Two Kinds of Feed for Pedigreed