Solve.
-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)64 lbs.
B)56 lbs.
C)52 lbs.
D)60 lbs.

Question

Quizplus · Accepted Answer

Let x be the number of pounds of nuts. The cost of the raisins is $3 per pound, so the cost of all the raisins in the barrel is 40*3 = $120. The cost of the nuts is $8 per pound, so the cost of x pounds of nuts is 8x.
The total cost of the mixture is the sum of the cost of the raisins and the cost of the nuts, which is 120 + 8x. The total weight of the mixture is 40 + x pounds. 
According to the problem, the target value of the mixture is $6 per pound. Therefore, we have the equation:
(120 + 8x)/(40 + x) = 6
Simplifying this equation, we get:
120 + 8x = 6(40 + x)
120 + 8x = 240 + 6x
2x = 120
x = 60
Therefore, they should mix 60 pounds of nuts with the 40-pound barrel of raisins. The total weight of the mixture will be 40 + 60 = 100 pounds, and the cost of the mixture will be (120 + 8*60)/100 = $6 per pound. 
Therefore, the best choice is D.

Solve. -The Owners of a Candy Store Want to Sell, for for $6