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

You have 30 pounds of chocolates - "x" pounds of the first type, and "30-x" of the second type.

The combined chocolates are selling for $1.10 per pound, so the entire batch is $33 (30*1.10 == 33).

If your "x" pounds is the $1.50 chocolates, you get:

1.50x + 0.90(30 - x) = 33

Then, you solve for x. Since I hate dealing with decimals, I'm going to multiply both sides by 10 first:

15x + 9(30 - x) = 330

Expanding the second term:

15x + 270 - 9x = 330

Subtracting 270 from both sides, and combining the x terms:

6x = 60

Dividing through by 6:

x = 10

So, you have 10 pounds of the expensive chocolates, and 30-10=20 pounds of the cheap ones.

Answer 2

so 10

Answer 3

yes