# A 5-lb nut mixture is worth $2.80 per pound. The mixture contains peanuts worth $1.70 per pound and cashews worth $4.55 per pound. How many pounds of each type of nut are int he mixture?

##### 2 Answers

Let's call the amount of cashew nuts

Then the amount of peanuts is

5 lbs of mixture is

This is equal to

Now work away the brackets first, keep all the

Let

Then one pound of mixture contains

Equating the costs in dollars, we have:

Subtract

So

and

In 5-lb of mixture there is

and