Corey combines x pounds of herbal tea at $12 per pound with 8 pounds of regular tea at $9 per pound. He makes a mixture that averages $10.50 per pound. Write an equation to model the situation.

Answer 1

Multiply the cost of each type of tea times its weight, find the sum, and set it equal to the weight of the mixture times its price per pound.

12x + 8(9) = 10.50(x + 8)

The mixture will weight (x + 8) pounds. Now, solve for x.