Question
5.1.1 \( 4: 10 \) Lerato mixes 600 ml of orange juice with 800 ml of apple juice to make fruit punch. What is the ratio of apple juice to orange juice in its simplest form?
Ask by Dickson Peterson. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The ratio of apple juice to orange juice is 4:3.
Solution
To determine the simplest form of the ratio of apple juice to orange juice, follow these steps:
1. **Identify the amounts:**
- Apple juice: 800 ml
- Orange juice: 600 ml
2. **Write the ratio:**
\[
\text{Apple juice} : \text{Orange juice} = 800 : 600
\]
3. **Simplify the ratio:**
- Find the Greatest Common Divisor (GCD) of 800 and 600.
- \( \text{GCD}(800, 600) = 200 \)
4. **Divide both parts of the ratio by the GCD:**
\[
\frac{800}{200} : \frac{600}{200} = 4 : 3
\]
**Final Answer:**
\[
\boxed{4\: :\: 3}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the ratio of apple juice to orange juice in its simplest form, we start with the amounts given: 800 ml of apple juice and 600 ml of orange juice. The ratio can be expressed as: \[ \text{Ratio} = \frac{\text{Apple Juice}}{\text{Orange Juice}} = \frac{800}{600} \] Next, we simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 200: \[ \frac{800 \div 200}{600 \div 200} = \frac{4}{3} \] Thus, the simplest form of the ratio of apple juice to orange juice is \(4:3\).
