Question
Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? Explain.
Answers
GPT-4o mini
To find the ratio of votes from girls to votes from boys, we first need to determine the number of votes from boys.
We know that:
- Total votes for Danny = 123
- Votes from girls = 55
To find the votes from boys, we subtract the number of votes from girls from the total votes:
\[
\text{Votes from boys} = \text{Total votes} - \text{Votes from girls} = 123 - 55 = 68
\]
Now we have:
- Votes from girls = 55
- Votes from boys = 68
Next, we can write the ratio of votes from girls to votes from boys:
\[
\text{Ratio of votes from girls to votes from boys} = \frac{\text{Votes from girls}}{\text{Votes from boys}} = \frac{55}{68}
\]
To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD). The GCD of 55 and 68 is 1, so the ratio in simplest form remains:
\[
\frac{55}{68}
\]
Thus, the ratio of votes from girls to votes from boys is **55:68**.
We know that:
- Total votes for Danny = 123
- Votes from girls = 55
To find the votes from boys, we subtract the number of votes from girls from the total votes:
\[
\text{Votes from boys} = \text{Total votes} - \text{Votes from girls} = 123 - 55 = 68
\]
Now we have:
- Votes from girls = 55
- Votes from boys = 68
Next, we can write the ratio of votes from girls to votes from boys:
\[
\text{Ratio of votes from girls to votes from boys} = \frac{\text{Votes from girls}}{\text{Votes from boys}} = \frac{55}{68}
\]
To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD). The GCD of 55 and 68 is 1, so the ratio in simplest form remains:
\[
\frac{55}{68}
\]
Thus, the ratio of votes from girls to votes from boys is **55:68**.