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?

Answer 1

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

Answer 2

To solve this problem, we can use the system of equations given:

1) x + y = 20
2) 7x + 5.5y = 119

First, we can solve equation 1 for x:
x = 20 - y

Next, substitute this value of x into equation 2:
7(20 - y) + 5.5y = 119

Now, we can solve for y:
140 - 7y + 5.5y = 119
-1.5y = -21
y = 14

So, you should use 14 pounds of soy nuts in the mixture.