Solve the problem.
-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 40-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?
A)56 lb
B)52 lb
C)64 lb
D)60 lb

Question

Quizplus · Accepted Answer

Let x be the number of pounds of macadamia nuts needed.
To achieve a target price of $6 per pound, the total value of the raisins and nuts in the mixture must equal 40 + x pounds times $6 per pound:
3(40) + 8x = 6(40 + x)
120 + 8x = 240 + 6x
2x = 120
x = 60

Therefore, the owners need 60 pounds of macadamia nuts to mix with the barrel of raisins to hit their target value of $6 per pound for the mixture. Thus, the answer is D.

Solve the Problem. -The Owners of a Candy Store Want to Sell, for to Sell