The owner of a candy store wants to make a 30-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for 95 cents per pound and lemon gumdrops sell for $1.20 per pound, how many pounds of each should be used?
A) 26 lb of 95 cents candy 4 lb of $1.20 candy
B) 2 lb of 95 cents candy 28 lb of $1.20 candy
C) 5 lb of 95 cents candy 25 lb of $1.20 candy
D) 27 lb of 95 cents candy 3 lb of $1.20 candy
E) 24 lb of 95 cents candy 6 lb of $1.20 candy

Question

Quizplus · Accepted Answer

To solve this, we can set up a system of equations based on the total weight and the total cost. Let x be the pounds of 95 cents candy and y be the pounds of $1.20 candy. We have x + y = 30 (for the total weight) and 0.95x + 1.20y = 30 (for the total cost, since the mixture sells for $1 per pound and the total weight is 30 pounds). Solving this system of equations, we find that x = 24 and y = 6, which corresponds to choice E: 24 lb of 95 cents candy and 6 lb of $1.20 candy.

The Owner of a Candy Store Wants to Make a 30-Pound