Question: When playing a video game, a player earns the same number of points for each hurdle jumped.
Zara earns 125 points for jumping 5 hurdles. How many hurdles does she have to jump to earn 400 points?
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Zara has to jump [] hurdles to earn 400 points.
1. **State the problem:** Zara earns 125 points for jumping 5 hurdles. We want to find how many hurdles she must jump to earn 400 points.
2. **Identify the formula:** Since points are earned proportionally per hurdle, the points per hurdle is constant. We use the formula:
$$\text{Points per hurdle} = \frac{\text{Total points}}{\text{Number of hurdles}}$$
3. **Calculate points per hurdle:**
$$\text{Points per hurdle} = \frac{125}{5} = 25$$
4. **Set up the equation to find the number of hurdles for 400 points:**
Let $x$ be the number of hurdles needed.
$$25 \times x = 400$$
5. **Solve for $x$:**
$$x = \frac{400}{25}$$
6. **Simplify the fraction:**
$$x = \frac{\cancel{400}}{\cancel{25}} = 16$$
7. **Answer:** Zara has to jump **16** hurdles to earn 400 points.