There are two mixtures in which milk and water are in the ratio of 2 : 3 and 3 : 7 respectively. In what ratio should the two mixtures be mixed to form a new mixture in which the ratio of milk to water is 4 : 7 ?

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Solution

Let milk in first mixture = $\frac{2}{5}$ part
Milk in second mixture = $\frac{3}{10}$ part
Milk in final part = $\frac{4}{11}$
Now, using rule of allegation , we get
Milk : Water = $\frac{7}{110} : \frac{55}{2} = 7 : 4$

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There are two mixtures in which milk and water are in the ratio of 2 : 3 and 3 : 7 respectively. In what ratio should the two mixtures be mixed to form a new mixture in which the ratio of milk to water is 4 : 7 ?

Let milk in first mixture = 25 partMilk in second mixture = 310 partMilk in final part = 411Now, using rule of allegation , we getMilk : Water = 7110:552=7:4

Let milk in first mixture = $\frac{2}{5}$ part
Milk in second mixture = $\frac{3}{10}$ part
Milk in final part = $\frac{4}{11}$
Now, using rule of allegation , we get
Milk : Water = $\frac{7}{110} : \frac{55}{2} = 7 : 4$