(a) A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice.
Write the ratio apple juice : mango juice in its simplest form.

Question

(a) A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.

UpStudy AI · Accepted Answer

To find the simplest form of the ratio of apple juice to mango juice, follow these steps:

1. **Convert Litres to Millilitres:**
   - **Apple Juice:** $$1.5 \text{ litres} = 1.5 \times 1000 = 1500 \text{ millilitres}$$
   - **Mango Juice:** $$450 \text{ millilitres}$$ (already in millilitres)

2. **Write the Initial Ratio:**
   $$
   \text{Apple Juice : Mango Juice} = 1500 : 450
   $$

3. **Simplify the Ratio:**
   - Find the **Greatest Common Divisor (GCD)** of 1500 and 450, which is **150**.
   - Divide both quantities by the GCD:
     $$
     \frac{1500}{150} : \frac{450}{150} = 10 : 3
     $$

**Simplest Form of the Ratio:**
$$
\boxed{10 : 3}
$$
The ratio of apple juice to mango juice is 10:3.

(a) A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice.
Write the ratio apple juice : mango juice in its simplest form.

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