To find the ratio of the number of heads to the total number of coin flips, follow these steps:
1. Determine the values involved:
- Heads: 125
- Total flips: 300
2. Formulate the ratio:
The initial ratio is given by the number of heads to the total flips, which is [tex]\(125:300\)[/tex].
3. Simplify the ratio:
- To simplify the ratio, find the greatest common divisor (GCD) of the two numbers. Here, the greatest common divisor of 125 and 300 is 25.
- Next, divide both terms of the ratio by the GCD:
[tex]\[\frac{125}{25} = 5\][/tex]
[tex]\[\frac{300}{25} = 12\][/tex]
4. Write the simplified ratio:
The simplified ratio of heads to total number of coin flips is [tex]\(5:12\)[/tex].
So, among the provided options, the correct answer is:
[tex]\[5 \text{ to } 12\][/tex]
