Question

How many pounds of nuts selling for$6/lb and raisins selling for $3/ lb should a person combine to obtain150 lb of trail mix selling for $4/lb?
Let x=nuts and y=raisins

two equations:

I.)

x+y=150

3x+6y/150=4

3x+6y=600

II.)

x+y=150

x=150-y


Plug II.) into I.) and solve for y:

3(150-y)+6y=600

450-3y+6y=600

3y=150

y=50

Solve for x using II.)

x+50=150

x=100

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