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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?

Sagot :

Mhanifaidn

Answer:

  • 3.6 pounds of granola and 5.4 pounds of nuts

Step-by-step 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
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