Question

Granola costs $6.50 per pound. Assorted nuts cost $9 per pound. How many pounds of granola and nuts are needed to make 9 pounds of trail mix that costs $8 per pound?

Answer 1

• 3.6 pounds of granola and 5.4 pounds of nuts

Explanation:

Let the required granola be x pounds, then amount of nuts is 9 - x.

The price of the mixture is as below equation:

• 6.5x + 9(9 - x) = 8*9
• 6.5x + 81 - 9x = 72
• 81 - 2.5x = 72
• 2.5x = 81 - 72
• 2.5x = 9
• x = 9/2.5
• x = 3.6

Find the amount of nuts:

• 9 - 3.6 = 5.4