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
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Answered by
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**.
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