On December 20, 2023, Brent will stop offering office hours.
- Video Course
- Video Course Overview
- General GMAT Strategies - 7 videos (free)
- Data Sufficiency - 16 videos (free)
- Arithmetic - 38 videos
- Powers and Roots - 36 videos
- Algebra and Equation Solving - 73 videos
- Word Problems - 48 videos
- Geometry - 42 videos
- Integer Properties - 38 videos
- Statistics - 20 videos
- Counting - 27 videos
- Probability - 23 videos
- Analytical Writing Assessment - 5 videos (free)
- Reading Comprehension - 10 videos (free)
- Critical Reasoning - 38 videos
- Sentence Correction - 70 videos
- Integrated Reasoning - 17 videos
- Study Guide
- Blog
- Philosophy
- Office Hours
- Extras
- Prices
Comment on Jets Fans in a Dormitory
How did you get 5/12
Good question.
Good question.
When we add the given fractions we get 7/12
So, up to that point, have have only accounted for 7/12 of the students. Since 7/12 + 5/12 = 12/12 = 1, we can conclude that, if 7/12 of the students are accounted for, then 5/12 of the students are NOT accounted for.
Does that help?
Hi,
I am yet not able to understand how you got 5/12.
Is there an other explaination?
When we add 1/3 + 1/6 + 1/12,
When we add 1/3 + 1/6 + 1/12, we are determining the proportion of students who are Jets fans, Bears fans or Raiders fans.
1/3 + 1/6 + 1/12 = 7/12
So, 7/12 of the students are Jets fans, Bears fans or Raiders fans
In other words, 7/12 of the students are NOT Dolphins fans.
This means the REMAINING 5/12 of the students ARE Dolphins fans.
Does that help?
Cheers,
Brent
Hi Brent, I got the answer in
5/12=30 thus 10/12=60 thus 1/12=6 thus 10/12+1/6+1/6=12/12=72
Ahhhh! Very nice reasoning,
Ahhhh! Very nice reasoning, Luis!!
Just to be clear (for others reading this), Luis is saying that, if 5/12 of T = 30, then we can say that 10/12 of T = 60, which means 1/12 of T = 6.
Finally, if 1/12 of T = 6, then 12/12 of T = 72. In other words, T = 72.
"To determine which answer
Should I add this strategy to my notebook?
Can you tell me what question
Can you tell me what question this is related to?
Hi Brent,
I got confused at the last part of the calculation. Can you please summarize that for me?
-Abhishek
You bet!
You bet!
Let's start with: (1/3)T + (1/6)T + (1/12)T + 30 = T
We can eliminate all the fractions by multiplying by 12 (the LCM of 3, 6 and 12).
We get: 12[(1/3)T + (1/6)T + (1/12)T + 30] = 12[T]
Expand: (12/3)T + (12/6)T + (12/12)T + 360 = 12T
Simplify: 4T + 2T + T + 360 = 12T
Simplify: 7T + 360 = 12T
Subtract 7T from both sides: 360 = 5T
Divide both sides by 5 to get: 72 = T
Does that help?