Question: The ratio of purple cars to red cars in a car park is 89 : 53
Write this ratio in the form $n : 1$
Give $n$ as a decimal to 2 d.p.
1. **State the problem:** We are given the ratio of purple cars to red cars as $89 : 53$.
2. **Goal:** Write this ratio in the form $n : 1$, where $n$ is a decimal rounded to 2 decimal places.
3. **Formula:** To convert a ratio $a : b$ to the form $n : 1$, divide both parts by $b$:
$$a : b = \frac{a}{b} : \frac{b}{b} = \frac{a}{b} : 1$$
4. **Apply the formula:**
$$n = \frac{89}{53}$$
5. **Calculate the decimal:**
$$n = 1.679245283...$$
6. **Round to 2 decimal places:**
$$n \approx 1.68$$
7. **Final answer:** The ratio in the form $n : 1$ is
$$1.68 : 1$$
This means for every 1 red car, there are approximately 1.68 purple cars.