There are 240 students in the hall 3/8 in fraction of them are boys.if 3/5 in fraction of them are gis have short hair ,find out the number of girls who have long hair
If 3/8 of the 240 students are boys, then 5/8 will be girls or 15 will be girls.
3/5 of the girls have short, so I will assume that 2/5 will have long hair, assuming none of the girls are bald
(2/5)(15) = 6
6 of them have long hair
To find the number of girls who have long hair, we first need to determine the number of girls in the hall.
Given that 3/8 of the students are boys, we can find the fraction of girls as follows:
Fraction of girls = 1 - Fraction of boys
Fraction of girls = 1 - 3/8 = 5/8
Now, we know that 3/5 of the girls have short hair. So, we can find the fraction of girls with long hair as follows:
Fraction of girls with long hair = 1 - Fraction of girls with short hair
Fraction of girls with long hair = 1 - 3/5 = 2/5
Now, we can determine the number of girls who have long hair. Let's assume the total number of students in the hall is represented by "x".
Number of girls = Fraction of girls * Total number of students
Number of girls = (5/8) * x
Number of girls with long hair = Fraction of girls with long hair * Number of girls
Number of girls with long hair = (2/5) * [(5/8) * x]
Simplifying the expression:
Number of girls with long hair = (2/5) * (5/8) * x
Since the total number of students in the hall is given as 240, we can substitute x = 240 into the expression to get the final answer:
Number of girls with long hair = (2/5) * (5/8) * 240
Now, let's calculate the answer:
Number of girls with long hair = (2/5) * (5/8) * 240
Number of girls with long hair = (2 * 5 * 240) / (5 * 8)
Number of girls with long hair = (2 * 240) / 8
Number of girls with long hair = 480 / 8
Number of girls with long hair = 60
Therefore, there are 60 girls who have long hair in the hall.