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.

1 answer

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.