# A grocer wishes to mix some nuts worth 90 cents per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each should she use?

##### 1 Answer

He should use **75 lbs** of nuts worth $0.90 and **100 lbs** of nuts woth $1.60.

#### Explanation:

You need to use the information given to you to write two equations, one that takes into account the *total weight* of the nuts and one that takes into account the *total price* of the nuts.

First, let's label the nuts that cost

This means that your first equation will be

Now, you know that the mixture will be sold for

Use the first equation to write

Now use the value of