Question 14: How many children had come to watch the movie?
a) 324
b) 540
c) 432
d) 243
Question 15: How many people had come to watch the movie?
a) 766
b) 700
c) 846
d) 864
Question 16: What percentage of seats was occupied in the theatre that day?
a) More than 70%
b) Less than 70%
c) More than 75%
d) More than 80%
Answers
Given : movie time
That day, the ratio of the number of adults to children was 3:5.
Each person had a seat in the Balcony or had a seat in the Stalls.
2 /15 of the children had seats in the Stalls.
468 children had seats in the Balcony.
There were exactly 1200 seats in the theatre.
To Find :
Question 14: How many children had come to watch the movie?
a) 324
b) 540
c) 432
d) 243
Question 15: How many people had come to watch the movie?
a) 766
b) 700
c) 846
d) 864
What percentage of seats was occupied in the theatre?
a) More than 70%
b) Less than 70%
c) More than 75%
d) More than 80%
Solution:
Let say children were = 15C
in stalls = (2/15)15C = 2C
in Balcony = 15C - 2C = 13C
=> 13C = 468
=> C = 36
=> Children = 15C = 15 * 36 = 540
540 children had come to watch the movie
ratio of the number of adults to children was 3:5.
=> Adults = (3/5) * 540 = 324
Total attendance = 540 + 324 = 864
864 people had come to watch the movie
Total Seats = 1200
percentage of seats was occupied in the theatre that day = (864/1200) *100
= 72 %
More than 70% was occupied in the theatre that day
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