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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 15 Nov 2010, 17:16
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 40% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 72 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?

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40

50
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 15 Nov 2010, 17:51
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lets say the people are:

100% during 11-12, then they are 140% during 12-1 and 400/3% during 10-11
so, 240% = 72
OR; 1% = 72/240 = 3/10
OR; 400/3% = 3/10 * 400/3 = 40
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 15 Nov 2010, 19:06
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rxs0005
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 40% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 72 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?

10

20

30

40

50
Show more

No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (7/5)(3x/4)
Given that 3x/4 + (7/5)(3x/4) = (3x/4)(12/5) = 72
Then x = 40
12 - 1
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 16 Nov 2010, 12:11
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rxs0005
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 40% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 72 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?

10

20

30

40

50

No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (7/5)(3x/4)
Given that 3x/4 + (7/5)(3x/4) = (3x/4)(12/5) = 72
Then x = 40
12 - 1
Show more


why in the third passage 7/5??? can explain me ?? please :)
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 16 Nov 2010, 13:29
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rxs0005
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 40% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 72 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?

10

20

30

40

50

No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (7/5)(3x/4)
Given that 3x/4 + (7/5)(3x/4) = (3x/4)(12/5) = 72
Then x = 40
12 - 1


why in the third passage 7/5??? can explain me ?? please :)
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Sure. The number of people in the bar from 12 - 1:00 pm is 40% greater than the number of people there from 11 a.m. to 12 p.m.
Number of people from 11 am to 12 pm is (3x/4). If we increase (3x/4) by 40%, we get (3x/4) + (40/100)*(3x/4) = (3x/4)(1 + 40/100)
Now, (1 + 40/100) = (1 + 2/5) = 7/5
That is how we get 3x/4 in step 2 too... because no of people from 11 - 12 is 25% less than no of people from 10-11.
x(1 - 25/100) = 3x/4

Generally, it is a good idea to remember fraction equivalents of percentages.
e.g. 50% = 1/2
25% = 1/4
20% = 1/5
etc
So if I reduce x by 25%, I am basically doing the following: x(1 - 1/4) = x*(3/4)
If I increase x by 20%, the I get: x( 1 + 1/5) = x*(6/5)
With some practice, you will be very comfortable with this method and save precious time on the exam.
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 16 Nov 2010, 18:46
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What if the 11-12 and the 12-1 crowd overlapped? Then you would not know how many were there from 10-11. Seems like a poorly worded question to me. Am I overlooking something?
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 16 Nov 2010, 19:36
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joestrummerlives
What if the 11-12 and the 12-1 crowd overlapped? Then you would not know how many were there from 10-11. Seems like a poorly worded question to me. Am I overlooking something?
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That is definitely a concern but since it is a problem solving question, we have to work with whatever data we have and arrive at the answer. Hence, it was clear that we do not have to consider that anyone was there in both the slots. In case the question mentioned that 11-12 and 12-1 crowd overlapped, it would have become a sets question. We would have some additional information then e.g. the number of people who were there in both the slots or number of people who were there in only one slot etc. We would have solved it accordingly then.
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 19 Nov 2010, 16:20
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Quote:

Sure. The number of people in the bar from 12 - 1:00 pm is 40% greater than the number of people there from 11 a.m. to 12 p.m.
Number of people from 11 am to 12 pm is (3x/4). If we increase (3x/4) by 40%, we get (3x/4) + (40/100)*(3x/4) = (3x/4)(1 + 40/100)
Now, (1 + 40/100) = (1 + 2/5) = 7/5
That is how we get 3x/4 in step 2 too... because no of people from 11 - 12 is 25% less than no of people from 10-11.
x(1 - 25/100) = 3x/4

Generally, it is a good idea to remember fraction equivalents of percentages.
e.g. 50% = 1/2
25% = 1/4
20% = 1/5
etc
So if I reduce x by 25%, I am basically doing the following: x(1 - 1/4) = x*(3/4)
If I increase x by 20%, the I get: x( 1 + 1/5) = x*(6/5)
With some practice, you will be very comfortable with this method and save precious time on the exam.
Show more

I do not know how to say thanks......................Thanks a lot :)

Now it's okkkkk :)
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The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m 24 Jun 2020, 03:21
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