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Difficulty:
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83% (00:57) correct
17%
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based on 72
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Attendance at a certain play was 8% higher on Saturday night than it was on Friday night. What was the attendance on Saturday night?
(1) Friday night's attendance was 200.
(2) Attendance increased from Friday night to Saturday night by 16 people.
(1) Friday night's attendance was 200.
(2) Attendance increased from Friday night to Saturday night by 16 people.
14 Mar 2026, 23:49
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Attendance at a certain play was 8% higher on Saturday night than it was on Friday night. What was the attendance on Saturday night?
(1) Friday night's attendance was 200.
(2) Attendance increased from Friday night to Saturday night by 16 people.
Let the attendance on Friday be 'F' and that on Saturday be 'S'. We are given that the attendance was 8% higher on Saturday than Friday => S = 1.08 F. We are required to find out the value of S.
Now, let's look at each statement individually, and then at both of them together (if required):
Statement 1: Friday night's attendance was 200.
F = 200
Hence, S = 1.08 * 200 = 216
As we are able to arrive at a unique answer using Statement 1 only, Statement 1 is sufficient in itself.
Now, let's take a look at Statement 2 closely:
Statement 2: Attendance increased from Friday night to Saturday night by 16 people.
As attendance increased from Friday to Saturday by 16 people => S - F = 16
We also know that S = 1.08 F => 1.08 F - F = 16 => 0.08 F = 16
Thus, F = 200 and S = 1.08 * 200 = 216
As we are able to arrive at a unique answer using Statement 2 alone as well, Statement 2 is sufficient in itself too.
Hence, the correct answer is Option D - EACH statement ALONE is sufficient.
(1) Friday night's attendance was 200.
(2) Attendance increased from Friday night to Saturday night by 16 people.
Let the attendance on Friday be 'F' and that on Saturday be 'S'. We are given that the attendance was 8% higher on Saturday than Friday => S = 1.08 F. We are required to find out the value of S.
Now, let's look at each statement individually, and then at both of them together (if required):
Statement 1: Friday night's attendance was 200.
F = 200
Hence, S = 1.08 * 200 = 216
As we are able to arrive at a unique answer using Statement 1 only, Statement 1 is sufficient in itself.
Now, let's take a look at Statement 2 closely:
Statement 2: Attendance increased from Friday night to Saturday night by 16 people.
As attendance increased from Friday to Saturday by 16 people => S - F = 16
We also know that S = 1.08 F => 1.08 F - F = 16 => 0.08 F = 16
Thus, F = 200 and S = 1.08 * 200 = 216
As we are able to arrive at a unique answer using Statement 2 alone as well, Statement 2 is sufficient in itself too.
Hence, the correct answer is Option D - EACH statement ALONE is sufficient.
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