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
y = pounds of soy nuts

How many pounds of soy nuts should be used in the mixture?
*
1 point
3
7
CRP
17

Answer 1

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

We have the equation x + y = 20. We can isolate x by subtracting y from both sides: x = 20 - y.

Now we can substitute this value of x into the second equation:

7x + 5.5y = 119
7(20 - y) + 5.5y = 119
140 - 7y + 5.5y = 119
-1.5y = -21
y = 14.

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