Question

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?
help guys!!

Answer 1

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