Mixture and ratio

Question

A container contain spirit to water ratio of 2:3 and other container contain 4:7 spirit to water ratio. If both mixtures are combined together in a large container what will be the new spirit to water ratio.?

What should be the approach to handle these types of question?

Comments

is it 21/34 ??

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what is wrong with the simple approach 2x  ,3x spirit and water in first container

4x, 7x spirit and water in second  now in third total spirit 6x total water 10 x so ratio 6x/10x =3:5

Answer 1

Total spirit =2/5+4/11

               =42/55

Total Water=2-42/55

                =68/55

So new spirit to water ratio=42/68

                                      =21/34

Comments

i have some doubt although ur approach seems correct e.g container a contain 55 litre mix. so there will be 22 litre spirit ans 33 litre water and container b contain 110  litre mix.

so it will have 40 litre spirit and 70 litre water now after mixing them we will have 62 litre spirit and 103 litre water the raito 62:103 is not equal to 21:34 

and what is wrong in my approach