Chapter 5.5, Problem 60E

To determine

What should the price in cents for a pound of Oriental Peanut Mix be if the company wants to make a profit of 10 cent per pound?

  $\begin{array}{l}\text{A }\frac{ab+cd}{a+c}+10\text{ B }\frac{b+d}{a+c}+10\text{ C }\frac{ab+cd}{a+c}+0.10\\ \text{D }\frac{b+d}{a+c}+0.10\text{ E }\frac{b+d+10}{a+c}\end{array}$

Answer to Problem 60E

  $\text{C }\frac{ab+cd}{a+c}+0.10$

Explanation of Solution

Given information: SAT/ACT Practice: The Natural Snack Company mixes a pounds of peanuts that cost b cents per pound with c pounds of rice crackers that cost d cents per pound to make Oriental Peanut Mix.

Calculation:

Let us calculate the actual cost of the oriental peanut mix first (for a + c pounds)

  $a\ast b+c\ast d$

Now let us calculate for one pound.

  $\frac{ab+cd}{a+c}$

Company wants to make a profit of 10 cents per pound.

  $\frac{ab+cd}{a+c}+0.10$

Thus,

  $\text{C }\frac{ab+cd}{a+c}+0.10$