There are 3 containers of equal capacity and all are completely filled with mixtures of acid and water in different ratios. the ratio of acid to water in the first container is 2:3 in the second container the ratio is 3:7 , in the third container it is 4:11 . if the mixtures of all these three container are mixed together find the ratio of acid to water to it .

Asked by dipeshsingh072 | 4th Dec, 2015, 08:25: PM

Expert Answer:

V o l u m e space o f space t h e space f i r s t space c o n t a i n e r equals 2 x plus 3 x equals 5 x V o l u m e space o f space t h e space s e c o n d space c o n t a i n e r equals 3 y plus 7 y equals 10 y V o l u m e space o f space t h e space t h i r d space c o n t a i n e r equals 4 z plus 11 z equals 15 z  therefore 5 x equals 10 y equals 15 z rightwards double arrow x equals fraction numerator 10 y over denominator 5 end fraction equals 2 y... left parenthesis 1 right parenthesis a n d z equals fraction numerator 10 y over denominator 15 end fraction equals fraction numerator 2 y over denominator 3 end fraction... left parenthesis 2 right parenthesis T h e space r a t i o space o f space t h e space a c i d space a n d space w a t e r space i n space t h e space t o t a l space m i x t u r e equals fraction numerator 2 x plus 3 y plus 4 z over denominator 3 x plus 7 y plus 11 z end fraction... left parenthesis 3 right parenthesis S u b s t i t u t i n g space t h e space v a l u e s space o f space z space a n d space z space f r o m space e q u a t i o n s space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis space i n space e q u a t i o n space left parenthesis 3 right parenthesis comma space w e space h a v e comma T h e space r a t i o space o f space t h e space a c i d space a n d space w a t e r space i n space t h e space t o t a l space m i x t u r e equals fraction numerator 2 cross times 2 y plus 3 y plus 4 cross times fraction numerator 2 y over denominator 3 end fraction over denominator 3 cross times 2 x plus 7 y plus 11 cross times fraction numerator 2 y over denominator 3 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 4 y plus 3 y plus fraction numerator 8 y over denominator 3 end fraction over denominator 6 x plus 7 y plus fraction numerator 22 y over denominator 3 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 7 y plus fraction numerator 8 y over denominator 3 end fraction over denominator 13 y plus fraction numerator 22 y over denominator 3 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator fraction numerator 21 y plus 8 y over denominator 3 end fraction over denominator fraction numerator 39 y plus 22 y over denominator 3 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator fraction numerator 29 y over denominator 3 end fraction over denominator fraction numerator 61 y over denominator 3 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 29 over 61

Answered by Vimala Ramamurthy | 5th Dec, 2015, 01:05: PM