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If 3A=2B=5C. Then find A:B:C.
Given: 3A = 2B = 5C
To do: FInd A:B:C
Solution:
Let 3A=2B=5C BE $p$
$3A = p; A = \frac{p}{3}$
$2B = p; B = \frac{X}{2}$
$5C = p; C = \frac{X}{5}$
$A : B : C = \frac{p}{3} : \frac{p}{2} : \frac{p}{5}$
$A : B : C = \frac{1}{3} : \frac{1}{2} : \frac{1}{5}$
To make the denominators same, Take LCM
LCM of 3 , 2 , 5 is 30
So, $\frac{1\times10}{3\times10}: \frac{ 1\times15 }{ 2\times15}: \frac{1\times6 }{5\times6}$
$\frac{10}{ 30} : \frac{ 15}{ 30} : \frac{ 6 }{ 30}$
Therefore, the ratio is:
10 : 15 : 6
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