Amixture of 30 pounds of candy sells for $1.10 a pound. the mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. how many pounds of the $1.50 chocolate were used to make the mixture?

a. 15
b. 10
c. 12

B. 10

Step-by-step explanation:

Let x represent pounds of chocolate worth $1.50 a pound and y represent pounds of chocolate worth 90¢ ($0.90) a pound.

We have been given that a mixture contains 30 pounds of both chocolates. We can represent this information in an equation as:

We are also told that a mixture of 30 pounds of candy sells for $1.10 a pound. We can represent this information in an equation as:

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:

Therefore, 10 pounds of the $1.50 chocolate were used to make the mixture and option B is the correct choice.