To determine the ratio of votes from girls to votes from boys, we first need to find out how many votes came from boys.
Given:
- Total votes for Danny = 123
- Votes from girls = 55
To find the votes from boys, we subtract the 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 set up 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 find the greatest common divisor (GCD) of 55 and 68. The GCD is 1 (as 55 is 5 * 11 and 68 is 4 * 17, with no common factors).
Thus, the simplified ratio remains:
\[ \frac{55}{68} \]
Therefore, the ratio of votes from girls to votes from boys is:
\[ \mathbf{55:68} \]
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