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Test Index
Decimals and Fractions Practice Test 1
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© examsnet.com
Question : 20
Total: 40
A theatre consists of 4 auditoriums running 4 different evening movie shows in parallel. When the senior manager asked his assistant to calculate the number of people watching the movie in Auditorium 1, he replied that out of a total of 560 people, Auditorium2 has 24 people more than one-third of people in Auditorium 1. Auditorium 3 has twice those of Auditorium 2, and Auditorium 4 consists of 20 people more than
2
5
of people in Auditorium 3. Find the number of people in Auditorium.
210
200
198
195
350
Validate
Solution:
👈: Video Solution
Let the number of people in Auditorium 1 = x
Then, the number of people in Auditorium 2
=
x
3
+
24
Number of people in Auditorium 3
=
2
x
3
+
48
Number of people in Auditorium 4
=
2
5
(
2
x
3
+
48
)
+
20
=
4
x
15
+
196
5
∴ Total number of people
=
x
+
x
3
+
24
+
2
x
3
+
48
+
4
x
15
+
196
5
⇒
560
=
15
x
+
5
x
+
360
+
10
x
+
720
+
4
x
+
588
15
⇒
560
=
34
x
+
1668
15
⇒
34
x
+
1668
=
8400
⇒
34
x
=
6732
⇒
x
=
198
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