The owner of a candy store wants to make a(n) 16-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for $0.90 per pound and lemon gumdrops sell for $1.30 per pound, how many pounds of each should be used? NOTE: All the values were rounded to the nearest whole number.
A) 4 lb. of lemon gumdrops, 12 lb. of red licorice bits.
B) 6 lb. of lemon gumdrops, 14 lb. of red licorice bits.
C) 8 lb. of lemon gumdrops, 6 lb. of red licorice bits.
D) 7 lb. of lemon gumdrops, 6 lb. of red licorice bits.
E) 5 lb. of lemon gumdrops, 15 lb. of red licorice bits.

Question

Quizplus · Accepted Answer

To solve this, we can set up a system of equations. Let $x$ be the pounds of lemon gumdrops and $y$ be the pounds of red licorice bits. We have two equations:1. $x + y = 16$ (the total weight of the mixture)2. $1.30x + 0.90y = 16$ (the total cost of the mixture)Solving this system, we find that $x = 4$ and $y = 12$, meaning 4 pounds of lemon gumdrops and 12 pounds of red licorice bits are needed.

The Owner of a Candy Store Wants to Make A(n)