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?A. 15B. 10C. 12

Answer 1

Answer: Option 'B' is correct.

Explanation:

Number of pounds of candy = 30

Cost per pound = $1.10

Total amount would be

`30* 1.10\\\\=33`

Let the number of pound that sold at $1.50 per pound be 'x'.

Let the number of pound that sold at 90 cents per pound be '30-x.

According to question, we get that

`1.5x+0.90(30-x)=33\\\\1.5x+27-0.90x=33\\\\1.5x-0.9x=33-27\\\\0.6x=6\\\\x=(6)/(0.6)=10`

Hence, there are 10 pounds of chocolates worth $1.50 per pound.

Therefore, Option 'B' is correct.