A 10th class was asked who had seen the movie "The Life of Pi" and who had seen, "Finding Nemo".
Twenty students had seen at least one of these movies. 20% of the students had seen neither of these movies.
How many students were in the class?
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SAY, STUDENTS NUMBER IS X. X/5 STUDENTS DIDN'T WATCH ANY MOVIES.SO ,4X/5 STUDENTS WATCH THE MOVIE.SO, 4X/5=20 AND X=25
Draw a venn diagram with the class as the universal set and the people who have watched the movies as 2 sets.... It will make things simple. Answer is 25.
Let n be the total number of students in the class. Since we know that 20% of the total number of students haven't seen either movie, we can conclude that 80% of the total number of students have seen at least one movie.
We know that 20 students (or 80% of the total) had seen at least one of the movies: n × 0 . 8 = 2 0 But we want to know how many total students there are, so we need to solve for n .
First we divide both sides by 0.8 : 0 . 8 n × 0 . 8 = 0 . 8 2 0 Which simplifies to: n = 0 . 8 2 0 0.8 can be written as 1 0 0 8 0 so if we substitute it in, we get n = 1 0 0 8 0 2 0 or n = 2 0 × 8 0 1 0 0 This simplifies to n = 1 × 4 1 0 0
This simplifies and we get n = 2 5
This problem is simple
set theory problem
. Say A and B are two movies then
n(A) - n(
A
∩
B
)
= no. of students seen movie A
n(B) - n(
A
∩
B
)
= no. of students seen movie B
Thus,
n(A) + n(B) - 2
×
n(
A
∩
B
)
= no. of students seen at least movie A or B
n(
A
∩
B
)
= no. of students seen both movies A and B
and
n(
A
∪
B
)
= total no. of students
Let total no. of students = N, then
n(
A
∪
B
)
= N
and
n(
A
∩
B
)
= N / 5
also
n(A) + n(B) - 2
×
n(
A
∩
B
)
= 20
As
n(
A
∪
B
) = n(A) + n(B) - n(
A
∩
B
)
⇒
n(
A
∪
B
) = n(A) + n(B) - 2
×
n(
A
∩
B
) + n(
A
∩
B
)
Thus, N = 20 + (N / 5)
So,
N = 25
.
let total no. of students be x.. since , 20 students were known. therefore, 20+20/100*x=25 there were 25 students in the class.....
20 students have seen at least one of the two movies, and 20% have seen neither the first nor the second. Which means that 20 constitutes 80% of the students of this class. If 20 is 80% the total number, then this total will be: 20+20/4=20+5=25
20% students are not watching film, and in 20 students at least one of them watching film,that means 80% students are watching film. and 80% is equals to 20 students, therefore, 20% is equals to 5 students. and finally 20 + 5 = 25 students.
it means 80% of student watch atleast 1of them so 80%of total student=2 the 20student so total student is 25
80% = 20 students who had watched movies ....
80/100 = 20
1/100 = 20/80 = 1/4
100/100 = 1/4 *100 = 25
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Hello,easy 1,
as total students=x,
so,
20 +( 20/100).x = x
20 + (1/5).x=x
20(5) + x = 5x
4x=100 x=100/4=25...
thanks...