In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?

Rationale

There are 9 girls in Mr. Garcia's class.

To find the number of girls, we first calculate the number of boys by determining two-thirds of the total 27 students, which equals 18 boys. Subtracting the number of boys from the total students gives us 9 girls.

A (1) YOUR ANSWER

If there were only 1 girl in the class, that would imply that the majority of students are boys, but it would not satisfy the condition of two-thirds being boys. This choice is far too low to reflect the ratios given in the question.

B (9) CORRECT

This is the correct answer because if two-thirds of the class are boys, then one-third must be girls. Since there are 27 students, one-third is calculated as 27 divided by 3, which equals 9. Therefore, there are indeed 9 girls in Mr. Garcia's class.

C (12) YOUR ANSWER

If there were 12 girls, that would mean the number of boys would be 27 - 12 = 15, which is not two-thirds of the class. Since 15 is less than two-thirds of 27 (which is 18), this choice does not satisfy the conditions of the question.

D (20) YOUR ANSWER

Having 20 girls would imply there are only 7 boys in the class (27 - 20), which is less than one-third of the class. This contradicts the statement that two-thirds of the students are boys, making this choice incorrect.

Conclusion

In Mr. Garcia's class, where two-thirds of the students are boys, the calculation reveals that there are 9 girls. This conclusion is derived from understanding the ratio of boys to girls in a class of 27 students, confirming that 9 is indeed the accurate answer given the context of the problem.

In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?

There are 9 girls in Mr. Garcia's class.

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