How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 60 cents a pound to produce a mixture worth $1 a pound?

Answer 1

Hi Sky, set up a table with the know information. Let x represent the unknown amount of $1.50 needed.

Product Amount Total

------------------------------------------

$1.50 x 1.50 * x

$0.60 10 0.60 * 10

$1.00 10 + x 1.00 * (10 + x)

The sum of the $1.50 chocolate plus the $0.60 must equal the $1.00 total.

Equation to solve:

1.50 * x + .60 * 10 = 1.00 * (10 + x)

1.50x + 6 = 10 + 1.00x

Combine like terms:

.5x = 4

Divide both sides by .5:

x = 8

You need 8 pounds of the $1.50 chocolate to make chocolate that costs $1.00 per pound.

Questions?