Final answer:
The cost of one small box of oranges is $11 and the cost of one large box of oranges is $23.
Step-by-step explanation:
Let's assume the cost of one small box of oranges is x dollars and the cost of one large box of oranges is y dollars.
From the given information, we can set up two equations:
- 4x + 2y = 87
- 11x + 3y = 150
Now we can solve these equations using substitution, elimination, or any other method of solving systems of equations.
After solving, we find that one small box of oranges costs $11 and one large box of oranges costs $23.