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This brain teaser has thus far defeated me!

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Patrick
Fri Dec 10 2010, 12:57AM Print
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
i was given this question in a math class as a brain teaser but i cant wrap my brain around it, if any one can help me please do so...

1/2 is 3/4 of 5/6 of the number X

read as : Half is three quarters of five sixths of the number X, so what the hell is X? mistrust
i presume the answer will be an exact fraction.

as near as i get is this-> X times (5/6) is Y ....... Y times (3/4) = (1/2) now my brain is stuck.
EDIT: maybe-> Y times (3/4) = (1/2) if Y is (2/3) i think this much works !? (2/3) times (3/4) = (1/2)

is X = four fifths ?

TY, Patrick
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Mattski
Fri Dec 10 2010, 01:25AM
Mattski Registered Member #1792 Joined: Fri Oct 31 2008, 08:12PM
Location: University of California
Posts: 527
You're on the right track, or at least you're on the same track that I'm on. You just have to substitute your first equation x*5/6=y into your second equation 3/4*y=1/2 since your first equation gives you y=something and your 2nd equation has y in it.

Edit: I think your edit came in while I wrote that post, and x=4/5 is the same answer I got.
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Ash Small
Fri Dec 10 2010, 01:48AM
Ash Small Registered Member #3414 Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
I make it 4/5, or 0.8
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Patrick
Fri Dec 10 2010, 01:52AM
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
Ash Small wrote ...

I make it 4/5, or 0.8
well all three of us working independently cant be crazy.

Mattski wrote ...

Edit: I think your edit came in while I wrote that post, and x=4/5 is the same answer I got.
ok you solved it as a point of intersection of two equations.
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uzzors2k
Fri Dec 10 2010, 10:29AM
uzzors2k Registered Member #95 Joined: Thu Feb 09 2006, 04:57PM
Location: Norway
Posts: 1308
1/2 is 3/4 of 5/6 of the number X
to me means that 1/2 = 3/4 * 5/6 * x, which in turn means that x = 4/5.
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Coronafix
Fri Dec 10 2010, 12:27PM
Coronafix Registered Member #160 Joined: Mon Feb 13 2006, 02:07AM
Location: Melbourne, Australia
Posts: 938
yep. I get 4/5 too.
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Ash Small
Fri Dec 10 2010, 12:50PM
Ash Small Registered Member #3414 Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
The simplest way to work it out is 1/2*4/3*6/5=4/5
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