Sania was rummaging her drawer, when she found some old movie tickets. With a smile, she
remembered seeing the famous cartoon movie, which the adults had also enjoyed. It was a
weekday, so the movie theatre was not completely full. Some adults and mostly children were
at the theatre.
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.
Question 01: How many people had come to watch the movie?
a) 766
b) 700
c) 846
d) 864
Question 02: 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
Answer:
q14) 540 children
q15) 864
q16) 72%
EXPLANATION :
q 14)
given, 2/15 of the children had seats in the Stalls.
so, if the total number of children were x, then the number of children in the stalls were 2/15 of x
The rest of the children had seats in balcony. That is, (1 - 2/15) of x were in balcony.
→ Children in balcony = x - 2x/15 = 13x/15
→ 13x/15 = 468
→ x = 468×15/13 = 540 children.
____________________
Q 15)
given, the ratio of the number of adults to children was 3:5
let number of adults be y.
→ y:540 = 3:5
→ y = 3/5 × 540 = 324 adults
therefore, no.of people that had come to watch the movie is
→ 324+ 540 = 864 people
____________________
Q 16)
given, total seats in the theatre is 1200.
864/1200 × 100
= 72%
____________________
Answer:
Answer 01:-
c) 846
Answer 02:-
b) Less than 70%
Step-by-step explanation: