Question 15: How many people had come to watch the movie?
a) 766
b) 700
c) 846
d) 864
Answers
Answer:
d) 864
Step-by-step explanation:
We Know that:-
Number Of Children In The Theatre = 540
Ratio Between Adults And Children Present In The Theatre = 3:5
Let's Assume that :-
3x' Is the number of Adults Present
& 5x' is the number of Children Present
Therefore, Total Number Of People Present In the Theatre = 3x + 5x = 8x
And We know that...
5x = 540
Therefore, x = 540/5
= 108
Therefore, The Number of Adults Present in the Theatre
= 3x
= 3 × 108
= 324
Therefore, 3x + 5x
=( 3 × 108 ) + ( 5 × 108 )
= 324 + 540
= 864
ALTERNATIVE METHOD :-
We know that x = 108
And We can directly Find 8x now
8 x = 8 × 108
= 864
INFORMATION
* I have Found The Information From PISA CCT 7
The Information like:-
540 Children
3:5 Ratio
Hope The Explanation Helps
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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