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piyushdabomb
- Master | Next Rank: 500 Posts
- Posts: 115
- Joined: Sun Sep 28, 2008 5:31 pm
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1) All of the students of Music High School are in the band, the orchestra, or both.80% of the students are in only one group.There are 119 students in the band.If 50% of the students are in the band only, how many students are in the orchestra only?
A)30 B)51 C)60 D)85 E)119
I found the answer here: https://www.beatthegmat.com/confusing-sets-t54521.html
But I'm trying to plug in the answer using MGMAT's method of a 2 dimensional box. I don't see the reason to remember venn diagrams if I've been using the 2 dimensional box.
Here is my box -
---- O ---- Not O ---- Total
- B - 0.5x 119
- Not B -
- Total - x
The problem that I'm experiencing is that just because we know that 80% of the students are in 1 band, does that mean that in the section [O/Not B] you're going to place 0.8x there or are you going to place 0.3x? How do we know that if 80% of the students are in 1 band are ONLY in the orchestra band and not the difference?
That's where i'm lost.
A)30 B)51 C)60 D)85 E)119
I found the answer here: https://www.beatthegmat.com/confusing-sets-t54521.html
But I'm trying to plug in the answer using MGMAT's method of a 2 dimensional box. I don't see the reason to remember venn diagrams if I've been using the 2 dimensional box.
Here is my box -
---- O ---- Not O ---- Total
- B - 0.5x 119
- Not B -
- Total - x
The problem that I'm experiencing is that just because we know that 80% of the students are in 1 band, does that mean that in the section [O/Not B] you're going to place 0.8x there or are you going to place 0.3x? How do we know that if 80% of the students are in 1 band are ONLY in the orchestra band and not the difference?
That's where i'm lost.
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Sincerely,
Piyush A.
Sincerely,
Piyush A.
