To find the ratio of heads to the total number of coin flips, you need to follow these steps:
1. State the given data:
- Total number of coin flips: 500
- Number of times the coin landed heads up: 225
2. Set up the ratio:
- The ratio of heads to total coin flips can be written as [tex]\( 225 : 500 \)[/tex].
3. Simplify the ratio:
- To simplify this ratio, we need to find the greatest common divisor (GCD) of 225 and 500.
- The GCD of 225 and 500 is 25.
4. Divide both terms of the ratio by the GCD:
- Simplify the ratio by dividing both 225 and 500 by their GCD, 25:
[tex]\[
\frac{225}{25} = 9
\][/tex]
[tex]\[
\frac{500}{25} = 20
\][/tex]
5. Write the simplified ratio:
- Therefore, the simplified ratio of heads to total coin flips is [tex]\( 9 : 20 \)[/tex].
Thus, the correct answer is 9 to 20.
