Question Number 205204 by BaliramKumar last updated on 12/Mar/24
Answered by A5T last updated on 12/Mar/24
$${Container}\:{A}:\:{Spirit}\left(\mathrm{35}{l}\right),{Water}\left(\mathrm{45}{l}\right) \\ $$$${Container}\:{B}:\:{Spirit}\left(\frac{\mathrm{7}}{\mathrm{16}}×\mathrm{20}=\mathrm{8}.\mathrm{75}\right),{Water}\left(\mathrm{11}.\mathrm{25}\right) \\ $$$$\Rightarrow{Container}\:{A}':\:{Spirit}\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{33}.\mathrm{75}{l}\right) \\ $$$${Container}\:{A}'':\:{Spirit}\:\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{53}.\mathrm{75}{l}\right) \\ $$$${S}:{W}=\mathrm{21}:\mathrm{43} \\ $$$${Container}\:{B}':\:{Spirit}\left(\mathrm{8}.\mathrm{75}+\frac{\mathrm{21}}{\mathrm{64}}×\mathrm{32}\right),{Water}\left(\mathrm{11}.\mathrm{25}+\frac{\mathrm{43}}{\mathrm{64}}×\mathrm{32}\right) \\ $$$$={Spirit}\left(\mathrm{19}.\mathrm{25}{l}\right),{Water}\left(\mathrm{32}.\mathrm{75}{l}\right) \\ $$$$\Rightarrow{W}:{S}=\mathrm{32}.\mathrm{75}:\mathrm{19}.\mathrm{25}=\mathrm{131}:\mathrm{77} \\ $$
Commented by BaliramKumar last updated on 12/Mar/24
$$\mathrm{thanks}\:\mathrm{sir} \\ $$$$\mathrm{any}\:\mathrm{short}\:\mathrm{solution}\: \\ $$
Commented by A5T last updated on 12/Mar/24
$${Spirit}:\left(\mathrm{0}+\frac{\mathrm{7}}{\mathrm{16}}×\mathrm{20}+\frac{\mathrm{21}}{\mathrm{64}}×\mathrm{32}=\mathrm{19}.\mathrm{25}{l}\right); \\ $$$${Water}:\:\left(\mathrm{0}+\frac{\mathrm{9}}{\mathrm{16}}×\mathrm{20}+\frac{\mathrm{43}}{\mathrm{64}}×\mathrm{32}=\mathrm{32}.\mathrm{75}{l}\right) \\ $$