Question

A mixture 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?

15

10

12

Answer 1

10 pounds of the $1.50 chocolate were used. give this a good rating

Answer 2

Answer with Step-by-step explanation:

A mixture of 30 pounds of candy sells for $1.10 a pound.

Let x pounds of chocolate worth $1.50 was used in making mixture and y pounds of chocolates worth 90¢ was used.

Then, x+y=30

⇒ y=30-x

1 $=100 ¢

⇒ 1 ¢=0.01 $

⇒ 90 ¢=0.9$

⇒ 1.50x+0.9y=30×1.10

⇒ 1.50x+0.9(30-x)=33

⇒ 1.50x+27-0.9x=33

⇒ 0.6x=33-27

⇒0.6x=6

⇒ x=10

Hence, 10 pounds of $1.50 chocolate were used to make the mixture