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If x/y =2/3, then (xy)/x? [#permalink]
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21 Oct 2005, 01:42
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83% (01:31) correct
17% (00:53) wrong based on 338 sessions
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If x/y =2/3, then (xy)/x? A. 1/2 B. 1/3 C. 1/3 D. 1/2 E. 5/2
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Re: PS Toughnut from OG [#permalink]
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21 Oct 2005, 01:54
njss750 wrote: x/y =2/3, then (xy)/x? 1/2, 1/3, 1/3, 1/2, 5/2
Since this was in the last few probs of OG, thot that x/y could also be interpreted as x=2 and y=3 and therefore x/y can be equal to 2/3. OG proved me wrong, but is this a theoretical possibility?
we have this law of fraction:
a/b=c/d= (ac)/(bd)
x/y=2/3 > x/2=y/3= (xy)/(23)=(xy)/(1) > (xy)/x= 1/2



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hik, i thought too complicatedly ....you're right, ywilfred!



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Re: PS Toughnut from OG [#permalink]
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17 Sep 2013, 19:02
laxieqv wrote: njss750 wrote: x/y =2/3, then (xy)/x? 1/2, 1/3, 1/3, 1/2, 5/2
Since this was in the last few probs of OG, thot that x/y could also be interpreted as x=2 and y=3 and therefore x/y can be equal to 2/3. OG proved me wrong, but is this a theoretical possibility? we have this law of fraction: a/b=c/d= (ac)/(bd) x/y=2/3 > x/2=y/3= (xy)/(23)=(xy)/(1) > (xy)/x= 1/2 will you please explain this rule i couldn't find it anywhere on the internet? also i am not familiar with it either i have solved it like this:x/y=2/3 xy/x=x/xy/x 12/3=32/3 so the answer is 1/3............. am i right?? :s



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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17 Sep 2013, 19:17
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Re: If x/y =2/3, then (xy)/x? [#permalink]
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17 Sep 2013, 19:24
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x/y=2/3, then y/x=3/2. (xy)/x = x/xy/x = 13/2 = 1/2



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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18 Sep 2013, 10:52
i got it!!! thanks guys!!!!



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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19 Sep 2013, 03:49
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I solved it like this...
x/y = 2/3 so x = 2 and y = 3 substitute and get the answer 1/2



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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21 Nov 2013, 19:59
I'm still confused. Where does the 1 come from?



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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21 Nov 2013, 21:32
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sdlucas wrote: I'm still confused. Where does the 1 come from? You separate out the numerator. \(\frac{(xy)}{x} = \frac{x}{x}  \frac{y}{x} = 1  \frac{y}{x} = 1  \frac{3}{2} = \frac{1}{2}\)
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Re: If x/y =2/3, then (xy)/x? [#permalink]
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19 Apr 2016, 16:12
did i get lucky? or can this be a correct approach.
I cross multiplied to get 3x=2y. I then divided by 3 to get 2/3y and just plugged that into where ever x was



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Re: If x/y =2/3, then (xy)/x? [#permalink]
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19 Apr 2016, 22:12
ross14 wrote: did i get lucky? or can this be a correct approach.
I cross multiplied to get 3x=2y. I then divided by 3 to get 2/3y and just plugged that into where ever x was Yes, the approach is fine. You are eliminating one variable, bringing it all in terms of a single variable and then cancelling it off to get a value.
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