Question
In a class ¹/⁴ of the pupils are girls. ³/⁴ of the girls are boarders and none of the boys are borders what fraction of the class re boarders
Answers
GPT 3.5
To solve this problem, we need to find the fraction of students who are boarders.
Let's say there are a total of x students in the class.
Given that 1/4 of the pupils are girls, this means that (1/4)x students are girls.
Of these girls, 3/4 are boarders, so the number of girl boarders is (3/4)(1/4)x = (3/16)x.
Since none of the boys are boarders, the number of boy boarders is 0.
Therefore, the total number of boarders in the class is (3/16)x + 0 = (3/16)x.
So, the fraction of the class that are boarders is (3/16)x / x = 3/16.
Thus, 3/16 of the class are boarders.
Let's say there are a total of x students in the class.
Given that 1/4 of the pupils are girls, this means that (1/4)x students are girls.
Of these girls, 3/4 are boarders, so the number of girl boarders is (3/4)(1/4)x = (3/16)x.
Since none of the boys are boarders, the number of boy boarders is 0.
Therefore, the total number of boarders in the class is (3/16)x + 0 = (3/16)x.
So, the fraction of the class that are boarders is (3/16)x / x = 3/16.
Thus, 3/16 of the class are boarders.