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13. Express the ratio of 48 privates to 2 drill instructors.

(A) [tex]1: 24[/tex]

(B) [tex]2: 48[/tex]

(C) [tex]48: 2[/tex]

(D) [tex]24: 1[/tex]


Sagot :

To solve the problem of expressing the ratio of 48 privates to 2 drill instructors, we need to find the simplest form of the ratio between these two numbers.

1. Identify the given values:
- The number of privates is 48.
- The number of drill instructors is 2.

2. Express the ratio:
- We are expressing the ratio of privates to instructors, so we start with the ratio 48:2.

3. Simplify the ratio:
- To simplify this ratio, we divide both terms by the greatest common divisor (GCD) of the two numbers. Here, the GCD of 48 and 2 is 2.

4. Divide both terms by the GCD:
- Divide 48 by 2 to get 24.
- Divide 2 by 2 to get 1.

5. Write the simplified ratio:
- After division, the ratio becomes 24:1.

The correct answer, therefore, is 24:1, which, when checking against the options provided, matches option D.
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