Answer:
The cost of one box of oranges = $3.3
Step-by-step explanation:
Let x be cost of one box of oranges and y be the cost of one box of grapefruit.
We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:
Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:

We will solve our system of linear equations using substitution method.
From equation (1) we will get,

Substituting y's value in equation (2) we will get,


Upon distributing 2 we will get,





Therefore, the cost of one box of oranges is $3.3.