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Two equal vessels are filled with the mixtures of water and milk in the ratio of 3 : 4 and 2 : 3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be1). 15 : 412). 53 : 353). 29 : 414). 59 : 53 |
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Answer» ⇒ Let the quantity of milk and water in 1st and 2nd vessel be 3x, 4x and 2X, 3x respectively. ⇒ Milk in the first mixture = 3x/(3x + 4x) = 3/7 ⇒ Water in the first mixture = 4x/(3x + 4x) = 4/7 ⇒ Milk in the SECOND mixture = 2x/(2x + 3x) = 2/5 ⇒ Water in the second mixture = 3x/(2x + 3x) = 3/5 ⇒ Ratio of Milk and water in new mixture = (3/7 + 2/5)/(4/7 + 3/5) ⇒ Ratio of Milk and water in new mixture = {(3 × 5 + 2 × 7)/35}/{(4 × 5 + 3 × 7)/35} ⇒ Ratio of Milk and water in new mixture = (15 + 14)/(20 + 21) ∴ Ratio of Milk and water in new mixture = 29 : 41 |
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