Absolutely, let’s work through this problem step by step.
Given:
- The total number of students in the school is 700.
- The number of boys is 300.
Firstly, let's determine the number of girls:
- The number of girls [tex]\( = \text{Total number of students} - \text{Number of boys} \)[/tex]
- The number of girls [tex]\( = 700 - 300 = 400 \)[/tex]
Now, let's find the required ratios:
(a) Ratio of boys to girls:
The ratio of boys to girls is calculated as:
[tex]\[ \text{Ratio of boys to girls} = \frac{\text{Number of boys}}{\text{Number of girls}} \][/tex]
[tex]\[ = \frac{300}{400} = 0.75 \][/tex]
So the ratio of boys to girls is 0.75.
(b) Ratio of boys to total students:
The ratio of boys to the total number of students is calculated as:
[tex]\[ \text{Ratio of boys to total students} = \frac{\text{Number of boys}}{\text{Total number of students}} \][/tex]
[tex]\[ = \frac{300}{700} \approx 0.42857142857142855 \][/tex]
So the ratio of boys to total students is approximately 0.4286 (rounded to 4 decimal places).
(c) Ratio of girls to total students:
The ratio of girls to the total number of students is calculated as:
[tex]\[ \text{Ratio of girls to total students} = \frac{\text{Number of girls}}{\text{Total number of students}} \][/tex]
[tex]\[ = \frac{400}{700} \approx 0.5714285714285714 \][/tex]
So the ratio of girls to total students is approximately 0.5714 (rounded to 4 decimal places).
(d) Ratio of girls to boys:
The ratio of girls to boys is calculated as:
[tex]\[ \text{Ratio of girls to boys} = \frac{\text{Number of girls}}{\text{Number of boys}} \][/tex]
[tex]\[ = \frac{400}{300} = 1.3333333333333333 \][/tex]
So the ratio of girls to boys is approximately 1.3333 (rounded to 4 decimal places).
To summarize:
- The ratio of boys to girls is 0.75.
- The ratio of boys to total students is approximately 0.4286.
- The ratio of girls to total students is approximately 0.5714.
- The ratio of girls to boys is approximately 1.3333.
