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