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Santos flipped a coin 500 times. The coin landed heads up 225 times.

Find the ratio of heads to the total number of coin flips. Express as a simplified ratio.

A. 9 to 11
B. 20 to 9
C. 9 to 20
D. 11 to 20

Sagot :

GinnyAnswer
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.
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