How much of each kind of nut is put into the mixture?

Question

A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per pound to make 100 pounds of a mixture that costs $2.13 per pound. How much of each kind of nut is put into the mixture?

Answer 1

peenuts=1.41 $/pound, walnuts=2.61$/pound... mix=100 pounds at 2.13 $/pound... x+y=100 or y=100-x... 1.41*x +2.61*y=213... 1.41x +2.61*(100-x)=213... 1.41x -2.61x +261=213... -1.2x =213-261=-48... x=48/1.2=40 so y=60