Question

if a:b=5:6 and b:c =2.8:3.5, find a:c

Answer 1

==================

Solution:
==================


$\frac{a}{b} = \frac{5}{6} = > b = \frac{6a}{5} ....1) \\ \\ \frac{b}{c} = \frac{28}{35} = > b = \frac{4c}{5} ........2) \\ \\ from \: both \: eq \: we \: have : \\ = > 3a = 2c \\ \\ now \\ = > \frac{a}{c} = \frac{2}{3} \\ \\ a : c = 2 : 3$
============

hope it helps

Answer 2

Thanks for the question !!

Given that,

= a : b = 5 : 6 ---( Equation 1 )

= b : c = 2.8 : 3.5 ---( Equation 2 )

Taking Equation 1, we can simplify it as :

= a / b = 5 / 6

=> a = 5 b / 6 ---( Equation 3 )

= b / c = 2.8 / 3.5

=> c = 3.5 b / 2.8 

=> c = 0.5 b / 0.4 ---( Equation 4 )


Dividing Equation ( 3 ) by ( 4), we get,


= a / c = ( 5 b / 6 ) / ( 0.5 b / 0.4 )

= a / c = ( 5 b / 6 ) * ( 0.4 / 0.5 b )

=> a / c = 5 * 0 .4 ( b ) / 6 * 0.5 ( b )

Cancelling out the common term " b " we get,

=> a / c = 2 / 3

Hence a : c = 2 : 3

Hence 2 : 3 is the required ratio.

Hope it helps !!

Any Doubts use comments section :-)