At a store, Tommy pays $34 for 2 pounds of oranges, 1 pound of strawberries, and 4 pounds of cherries; Jenny pays $35 for 3 pounds of oranges, 2 pounds of strawberries, and 2 pounds of cherries; and Margaret pays $49 for 5 pounds of oranges, 3 pounds of strawberries, and 2 pounds of cherries.

Answer ALL of the following questions:

Create a system of equations to model the situation that can be used to determine what the price is per pound for each type of fruit. Be sure to label all variables.

Solve your system of equations using an augmented matrix with row operations by hand showing the work. What is the price per pound for each type of fruit?

It turns our that you can use the substitution or elimination method to solve a word problem involving a system of 3 equations in 3 variables, you just have to do it a couple of times within the one problem. Show that it can be done with your system. Solve the system using substitution or elimination. You solutions should match.