Ratio and Proportion

Question

if A:B =1:2 and B:C = 2:3 find A:B:C.

Answer 1

x parts of A

y parts of B

z parts of C

 

x/y = 1/2

y/z = 2/3

 

=> x/z = (1/2)(2/3) = 1/3

 

if x = 1

then

y = 2x = 2

x = 3x = 3

 

so A:B:C = x:y:z = 1:2:3