Mixture Word problem

[yvemag87]

How many pounds of 80 cent nuts and how many pounds of 50 cent nuts must a dealer use to produce a mixture of 90 pounds to sell at 75 cents per pound?

 

[tkhunny]

What have you tried?

Define E = Pounds of 80¢ nuts
Define F = Pounds of 50¢ nuts

Equate Pounds: E + F = 90
Equate Price: E*0.80 + F*0.50 = (F+E)*0.75

Now what?