Question

Suppose you want to make a mixture of peanuts and walnuts that costs $2.70 per pound. How many pounds of peanuts at $1.50 per pound should be mixed with 24 pounds of walnuts at $3.50 per pound

Answer 1

m p w, mixture = (3.5 walnuts + 1.5 peanuts ) / (walnuts +peanuts)
walnuts is 24 pounts so we can fill that in
(3.5x24 +1.5p) / (24+p) = mixture, we want the mixutre to be 2.7 so set the equation equal to 2.7
then solve for p (hint multiply by (24+p) )