Kelsey's town voted on a new law. There were 16 votes in favor of the law and 34 votes against the law. What is the ratio of the number of votes in favor of the law to the number of votes against the law?50:34 34:32 34:50 16:34

Answer 1

To find the ratio of the number of votes in favor of the law to the number of votes against the law, we can express it as follows:

The number of votes in favor: 16
The number of votes against: 34

The ratio can be written as:

\[ \text{Ratio} = \frac{\text{Votes in favor}}{\text{Votes against}} = \frac{16}{34} \]

To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD). The GCD of 16 and 34 is 2.

Now, we simplify:

\[ \frac{16 \div 2}{34 \div 2} = \frac{8}{17} \]

So, the simplified ratio of the number of votes in favor of the law to the number of votes against the law is 8:17. However, since 8:17 is not one of the provided options, if instead we are to just express it in terms of the original numbers, the ratio is 16:34.

Among the options given: 50:34, 34:32, 34:50, 16:34, the correct answer is:

16:34.