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:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8