Question

A store is creating a 18 lb mixture of chocolates and nuts. chocolates cost $3.00 per pound, and nuts cost $1.50 per pound. the store wants to make a mixture that costs, on average, $2.00 per pound. how many pounds of nuts are needed for this mixture?

Answer 1

12

Step-by-step explanation:

Answer 2

We will make 2 equations where:
C - chocolate
N - nuts
C + N = 18
3 C + 1.5 N = 2 ( N + C )
3 C + 1.5 N = 2 N + 2 C
3 C - 2 C = 2 N - 1.5 N
C = 0.5 N ( we will put it into the 1st equation )
0.5 N + N = 18
1.5 N = 18
N = 18 : 1.5
N = 12 lb.
Answer: 12 pounds of nuts are needed for this mixture.