CPM Homework Help : AC Problem 12-105

How much candy costing $\$8$ a pound should be mixed with $6$ pounds of candy costing $\$10$ a pound to create a mixture costing $\$8.50$ a pound?

Hint 1:

Think: A total cost of $8.50$ a pound is $\frac{\text{total cost}}{\text{total pounds}}=8.50$ .

Step 1:

Write an expression for the total cost.
Write another expression for the total pounds.

Hint 2:

Define your variable:
$x=$ the number of pounds of $\$8$
cost: $8x+10(6)$
total pounds: $x+6$

Step 2:

Use the hint and expressions above to write your equation and solve for $x$ .