# How many pounds of dried pineapple selling at 35 cents a pound should be mixed with dried apricots selling at 70 cents a pound to make a mixture of 100 pounds to sell at 42 cents per pound?

##### 1 Answer

#### Answer:

You need **80 lbs** of dried pineapple and **20 lbs** of dried apricots.

#### Explanation:

In order to solve this problem, you need to use the information given to write two equations, one that relates the **masses** of the two types of dried fruit and the other that relates the **profit** you would get for the two types of dried fruit and for the mixture.

Let's say that **100 lbs**, which means that you can write

Now focus on the profit. You know that the mixture can be sold for

This means that you can write

The system of equations looks like this

Use the fist equation to write

This means that

Therefore, you need to mix **80 lbs** of dried pineapple at **20 lbs** of dried apricots at