Questions: If there are 180 dark-colored mice and 60 light-colored mice in a population, what is the ratio of dark-colored mice to light-colored mice?

If there are 180 dark-colored mice and 60 light-colored mice in a population, what is the ratio of dark-colored mice to light-colored mice?
Transcript text: If there are 180 dark-colored mice and 60 light-colored mice in a population, what is the ratio of dark-colored mice to light-colored mice?
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Solution

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Solution Steps

To find the ratio of dark-colored mice to light-colored mice, we need to divide the number of dark-colored mice by the number of light-colored mice and simplify the fraction to its lowest terms.

Step 1: Determine the Number of Mice

We have a total of \( 180 \) dark-colored mice and \( 60 \) light-colored mice.

Step 2: Calculate the Ratio

The ratio of dark-colored mice to light-colored mice can be expressed as: \[ \text{Ratio} = \frac{\text{Number of dark-colored mice}}{\text{Number of light-colored mice}} = \frac{180}{60} \]

Step 3: Simplify the Ratio

To simplify the ratio \( \frac{180}{60} \), we divide both the numerator and the denominator by their greatest common divisor, which is \( 60 \): \[ \frac{180 \div 60}{60 \div 60} = \frac{3}{1} \]

Final Answer

The ratio of dark-colored mice to light-colored mice is \\(\boxed{3:1}\\).

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