Agrocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. if cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Let x pounds be the amount of cashews he mixed and y pounds be the amount of peanuts.

A grocer wants to make a 10-pound mixture of cashews and peanuts, so x+y=10.If cashews cost $5.60 per pound, then x pounds will cost $5.6x. If peanuts cost $2.30 per pound, then y pounds will cost $2.3y. He can sell the mix for $3.29 per pound, then 10 pounds will cost $32.9 and the second equation is 5.6x+2.3y=32.9

Solve the system

of equations:

from the first equation express x and substitute it into second equation:

solve the second equation:

find x:

A grocer must take 3 pounds of cashews and 7 pounds of peanuts.