A grocer mixed walnuts worth $0.51 per kilogram with peanuts worth $0.60 per kilogram. If she made 39 kilograms of a mixture worth 0.57 per kilogram how many kilo grams of walnuts are in the mixture?

Question

This is an 8th grade math question that I’ve been stuck on for a while

Answer 1

Let W=amount in kg of walnuts and P=same for peanuts.

W+P=39 total amount. So P=39-W.

0.51W+0.6P=0.57×39 equates values in money.

Now substitute for P:

0.51W+0.6(39-W)=22.23, 0.51W+23.4-0.6W=22.23.

1.17=0.09W, W=1.17/0.09=117/9=13kg.

So there is 13kg of walnuts in the mixture (and 26kg of peanuts).