What is x in the following ration equation $=> x:(23/42 +x)=8/25 : 14/15$ ?

Question

What is x in the following ration equation: $x:(23/42 +x)=8/25 : 14/15$ ?

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Answer 1 · 2016-04-27T06:06:43

$x=2/7$

If $a:b=c:d$ then $axxd=bxxc$ , hence

$x xx14/15=(23/42+x)xx8/25$

or multiplying both sides by $25/8$

$(14x)/15xx25/8=23/42+x$

or
$(7cancel14x)/(3cancel15)xx(5cancel25)/(4cancel8)=23/42+x$

$(35x)/12=23/42+x$ or

$(35x)/12-x=(35x)/12-(12x)/12=23/42$

or $(23x)/12=23/42$

or $x=cancel23/(7cancel42)xx(2cancel12)/cancel23$

or $x=2/7$