Question
Choose the realistic ratio proportionate to boy:girl, which is 3:5.
Question 2 options:
6:10
1.5:2.5
-6:10
1.5:-2.5
Question 2 options:
6:10
1.5:2.5
-6:10
1.5:-2.5
Answers
Answered by
GPT-4o mini
To maintain the ratio of boys to girls as 3:5, we can check each option to see if it is equivalent to this ratio.
1. **6:10**
The simplified form is \( \frac{6}{10} = \frac{3}{5} \), which matches the ratio 3:5.
2. **1.5:2.5**
The simplified form is \( \frac{1.5}{2.5} = \frac{3}{5} \), which matches the ratio 3:5.
3. **-6:10**
The simplified form is \( \frac{-6}{10} = \frac{-3}{5} \). This does not match the positive ratio 3:5.
4. **1.5:-2.5**
The simplified form is \( \frac{1.5}{-2.5} = \frac{3}{-5} \). This does not match the positive ratio 3:5.
Thus, the realistic ratios that maintain the proportionate relationship of boys to girls at 3:5 are **6:10** and **1.5:2.5**.
1. **6:10**
The simplified form is \( \frac{6}{10} = \frac{3}{5} \), which matches the ratio 3:5.
2. **1.5:2.5**
The simplified form is \( \frac{1.5}{2.5} = \frac{3}{5} \), which matches the ratio 3:5.
3. **-6:10**
The simplified form is \( \frac{-6}{10} = \frac{-3}{5} \). This does not match the positive ratio 3:5.
4. **1.5:-2.5**
The simplified form is \( \frac{1.5}{-2.5} = \frac{3}{-5} \). This does not match the positive ratio 3:5.
Thus, the realistic ratios that maintain the proportionate relationship of boys to girls at 3:5 are **6:10** and **1.5:2.5**.