Three bottles of equal capacity contain mixtu | vedclass

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Question

(B) Let the capacity of each bottle be $63$ litres (the $LCM$ of $7, 7, 9$).The ratios of milk and water in the three bottles are $2:5$,$3:4$,and $4:5

Vedclass · Accepted Answer

$73:116$

Vedclass · Answer

(B) Let the capacity of each bottle be $63$ litres (the $LCM$ of $7, 7, 9$).The ratios of milk and water in the three bottles are $2:5$,$3:4$,and $4:5$.For the $1^{	ext{st}}$ bottle: Milk $= \frac{2}{7} 	imes 63 = 18$ litres,Water $= 63 - 18 = 45$ litres.For the $2^{	ext{nd}}$ bottle: Milk $= \frac{3}{7} 	imes 63 = 27$ litres,Water $= 63 - 27 = 36$ litres.For the $3^{	ext{rd}}$ bottle: Milk $= \frac{4}{9} 	imes 63 = 28$ litres,Water $= 63 - 28 = 35$ litres.Total Milk $= 18 + 27 + 28 = 73$ litres.Total Water $= 45 + 36 + 35 = 116$ litres.Therefore,the required ratio of milk to water is $73:116$.

Three bottles of equal capacity contain mixtures of milk and water in the ratios $2:5$,$3:4$,and $4:5$ respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

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