Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 28 pounds of feed worth $\$ 0.62$ per pound by mixing one kind worth $\$ 0.15$ per pound with another worth $\$ 0.97$ per pound. How many pounds of the cheaper kind should they use in the mix?
A) 21 pounds
B) 14 pounds
C) 12 pounds
D) 16 pounds

Question

Quizplus · Accepted Answer

Let $x$ be the number of pounds of the cheaper feed used in the mixture. Then, the number of pounds of the more expensive feed used in the mixture is $28-x$.

The cost per pound of the mixture is given by:

$$0.15x + 0.97(28-x) = 0.62(28)$$

Simplifying and solving for $x$, we get:

$$0.82x = 14.84$$
$$x \approx 18.1$$

Since we cannot use a fraction of a pound of feed, the closest whole number is 12, which is our answer.

Solve the Problem $0.62\$ 0.62$0.62 Per Pound by Mixing One Kind Worth

Solve the Problem $\$ 0.62$ Per Pound by Mixing One Kind Worth