### Home > AC > Chapter 12 > Lesson 12.2.2 > Problem 12-46

12-46.

How much coffee costing $6 a pound should be mixed with 3 pounds of coffee costing $4 per pound to create a mixture costing $4.75 per pound?

Define your variables.

*x* = # of pounds of $6 coffee

Write an equation to represent the problem. Use formula

(cost per pound)(pounds) = (cost per pound)(pounds)

6*x* + 12 = 4.75(*x* + 3)

Solve for *x*.