193k views
1 vote
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?

User Tom Glenn
by
7.1k points

1 Answer

8 votes

Answer:

  • 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
User PJC
by
7.5k points