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. how many children had come to watch the movie? how many people had come to watch the movie? what percentage of seats was occupied in the theatre that day?
Answers
Answer:
Step-by-step explanation:
Answer:
q14) 540 children
q15) 864
q16) 72%
Step-by-step 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%
____________________