How many pounds of nuts selling for $12 per lb and raisins selling for $6 per lb should a person combine to obtain 60 lb of a trail mix selling for $8 per lb

6 pound nuts and 10 pounds raisins

N=number of pounds of nuts

r=number of pounds of ratins

total is 60 pounds

n+r=60

selling for 8 dollars per pound

(12n+6r) / 60=8

now we have

n+r=60 and

(12n+6r) / 60=8

solve

second equation, multiplyboth sides by 60

12n+6r=480

first equation, tmes - 6 and add

12n+6r=480

-6n-6r=-360+

6n+0r=120

6n=120

divide both sides by 6

n=20

sub

n+r=60

20+r=60

r=40

20 pounds of nuts

40 pounds of rasins