Problema Solution
The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a 70-pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture
Answer provided by our tutors
let
x = 70 lbs of the chocolate-covered raisins with cost of $3 per pound
y = the pounds of the chocolate-covered macadamia nuts with cost of $8 per pound
the new mixture will have a weight of 70 + y pounds and cost of $6 per pound
3*70 + 8*y = 6*(y + 70)
8y - 6y = 420 - 210
2y = 210
y = 105 lbs
they should mix 105 lbs of nuts with 70-pound barrel of raisins to hit target value of $6 per pound for the mixture.