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i came across a few questions that tests the rearrangement

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CEO
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i came across a few questions that tests the rearrangement [#permalink] New post 11 Jan 2008, 09:44
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i came across a few questions that tests the rearrangement of ratios. For example,

A/B = C/D, which is equal to AD = BC, which is equal to A=BC/D, which in turn is equal to A/B =D/E

now, my question is, is there a formula sheet or a set pattern to recognize these tranposing of ratios?
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Re: tranposing ratios - help needed [#permalink] New post 11 Jan 2008, 09:53
It's algebraic my friend! No tricky formulas necessary!

A/B = C/D (multiply each side by BD to get) AD = CB
AD = CB (divide each side by D to get) A = CB/D

and I believe there's a typo in the last equation A/B = D/E since E hasn't been introduced at all.
A=CB/D (divide each side by B to get) A/B = C/D (which is what we started out with)
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Re: tranposing ratios - help needed [#permalink] New post 11 Jan 2008, 10:06
yea, typo in the last part.

I assume we can also turn A = CB/D into A/C = B/D
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Re: tranposing ratios - help needed [#permalink] New post 11 Jan 2008, 10:09
bmwhype2 wrote:
yea, typo in the last part.

I assume we can also turn A = CB/D into A/C = B/D


yup, it's just multiplying and dividing and making sure you cancel out variables that show up in the denominator and numerator
Re: tranposing ratios - help needed   [#permalink] 11 Jan 2008, 10:09
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i came across a few questions that tests the rearrangement

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