How many pounds of raisins worth 3 per pound must be mixed with 10 pounds of peanuts worth 2.40 per pound to produce a mixture worth 2.80 per pound?

Answer 1

Let N be the number of pounds of nuts at 6 per pound in the mixture

Then 150-N is the number of pounds of raisins at 3 per pound in the mixture

We are selling 150 lbs at 4 per pound

Therefore (150x4) = (Nx6) + (150-N)x3

That is 600 = 6N + 450 -3N

Transposing we get 600-450 = 3N

That is 150 = 3N

N = 50 lbs

So the 150 lbs of the mixture contains 50 lbs of nuts and 100 lbs of raisins