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Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $6.50 per pound to make?

Respuesta :

Answer:

8 pounds of almonds

4 pounds of macadamia

Step-by-step explanation:

Let x be the pounds of almond

then 12 - x is the pounds of macadamia

5.25x + 9(12 - x) = 12(6.50)

distribute

5.25x + (108 - 9x) = 78

Combine like terms

-3.75x + 108 = 78

subtract 108 from both sides

-3.75x = 30

Divide both sides by -3.75

x = 8    pounds of almond

12 - x = 4    pounds of macadamia