Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. Please use equations to solve the problem.

Step-by-step explanation:

3x + 14y = 203

2. 11x + 11y = 220

3. Divide the last equation above by 11: x + y = 20

4. This is the same as saying x = 20 - y

5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203

6. The above equation simplifies to 60 - 3y + 14y = 203

7. Now express the equation in terms of y: 11y = 143

8. From the last equation, y = 13

9. Since x + y = 20, x = 7

10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;

(11 times 7) + (11 times 13) = 77 + 143 = 220

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