Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 26 pounds of feed worth $0.54 per pound by mixing one kind worth $0.34 per pound with another worth $0.99 per pound. How many pounds of
The cheaper kind should they use in the mix?
A)13 pounds
B)18 pounds
C)8 pounds
D)20 pounds

Question

Quizplus · Accepted Answer

Let x be the number of pounds of the cheaper kind to use in the mix.
Then, the number of pounds of the more expensive kind to use in the mix is (26-x).
The cost of the mix is:

0.34x + 0.99(26-x) = 0.54(26)

Simplifying and solving for x, we get:

0.34x + 25.74 - 0.99x = 14.04
-0.65x = -11.7
x = 18

Therefore, they should use 18 pounds of the cheaper kind in the mix.

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