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