The Nuthouse offers a mixture of soy nuts and almonds. Almonds sell for $7 per pound and soy nuts sell for $5.50 per pound. The Nuthouse will make 20 pounds of the mixed nuts and sell the mixture for $5.95 per pound. The following equations represent the problem of keeping the cost of the mixture consistent with the ingredients.

Question

The Nuthouse offers a mixture of soy nuts and almonds. Almonds sell for $7 per pound and soy nuts sell for $5.50 per pound.  The Nuthouse will make 20 pounds of the mixed nuts and sell the mixture for $5.95 per pound. The following equations represent the problem of keeping the cost of the mixture consistent with the ingredients.
                      x + y = 20.
                      7x + 5.5y = 119.
x = pounds of almonds and y = pounds of soy nuts.
How many pounds of soy nuts should be used in the mixture?

Reiny · Answer

just solve the two equations. I would use y = 20-x from the first and sub it into the 2nd let me know what you get