Final answer:
To solve the problem, we create an equation representing Tom's spending and earnings, allowing us to find that his original allowance was $4.
Step-by-step explanation:
The student is asking about a typical algebraic problem where we need to find out how much allowance Tom had initially before spending and earning more money. We can start by denoting Tom's allowance as x. According to the problem, Tom spent half of his allowance on movies, which means he spent x/2. Then he earned an additional $9 by washing the car. In the end, he has $11. We can set up an equation to solve for x: x/2 + 9 = 11. By subtracting 9 from both sides, we get x/2 = 2. Multiplying both sides by 2 gives us x = 4. Thus, Tom's original allowance was $4.