Martinezz15611idn
Answered

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There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?

A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 4

Sagot :

GinnyAnsweridn
Sure, let's solve this step by step:

1. Determine the total number of students in the classroom:
- There are 12 boys and 16 girls.
- Adding them together gives us: [tex]\( 12 + 16 = 28 \)[/tex]
- So, the total number of students is 28.

2. Find the ratio of girls to the total number of students:
- The number of girls is 16.
- The total number of students is 28.
- Thus, the initial ratio of girls to the total number of students is [tex]\( \frac{16}{28} \)[/tex].

3. Simplify the ratio:
- We need to simplify the fraction [tex]\( \frac{16}{28} \)[/tex].
- To do so, we find the greatest common divisor (GCD) of 16 and 28, which is 4.
- Divide both the numerator and the denominator by the GCD:
- [tex]\( \frac{16 \div 4}{28 \div 4} = \frac{4}{7} \)[/tex]

4. Conclusion:
- The simplified ratio of girls to the total number of students is 4 to 7.

Therefore, the answer is:
- The simplified ratio of girls to students in the classroom is 4 to 7.
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