Question

Ned, the owner of neds shop, sells peanuts for $10 per pound and cashews for $9 per pound. Ned wants to create a 20 pound barrel of mixed nuts and sell it for $9.55 per pound. How many pounds of peanuts and cashews should Ned use?

Answer 1

We will use a system of equation for this one.
P=Peanuts; C=Cashews
P+C=20
This represents the pounds.
10P+9C=191
We can make the first equation equal C.
C=20-P
10P+9(20-P)=191
10P+180-9P
P+180=191
P=11
There are 11 pounds of peanuts, which means there's 9 pounds of cashews.