Question

A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains 4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.

Answer 1

Answer:

The system don't have a unique solution

Step-by-step explanation:

We define the problem in different variables:

Dried Fruit is going to be x

Almonds are going to be y

So, in this new terms we have that a small bag (S) and a large bag ( L) are going to be represented by:

1.      3x+4y=S
2.      4$\frac{1}{2}$x+6y=L

If we multiply both sides of the first equation by 1.5 we got this:

1.      4$\frac{1}{2}$x+6y=1.5S
2.      4$\frac{1}{2}$x+6y=L

Therefore we can notice that the system of equations has an unlimited number of soltions because is a consistent and dependent system.