Question: At an arcade, Sarah wins $50$ tickets with $25$ tokens.
How many tickets does Sarah win per token?
1. **State the problem:** Sarah wins $50$ tickets using $25$ tokens. We want to find how many tickets she wins per token.
2. **Formula:** To find tickets per token, divide total tickets by total tokens:
$$\text{Tickets per token} = \frac{\text{Total tickets}}{\text{Total tokens}}$$
3. **Substitute values:**
$$\frac{50}{25}$$
4. **Simplify the fraction:**
$$\frac{\cancel{50}}{\cancel{25}} = 2$$
5. **Interpretation:** Sarah wins $2$ tickets for every token she uses.
6. **Check the answer:** The user suggested $21$, which is incorrect based on the calculation.
**Final answer:** Sarah wins $2$ tickets per token.