Question

two equal containers are filled with the picture of water and milk in the ratio of 3:2 and 4:3 respectively if the mixtures are poured into the third container the ratio of the water and milk in the third container will be​

Answer 1

Answer:

Step-by-step explanation:

25:18

Answer 2

We recall that the third container would have a summation of the fraction of both liquids in each container.

Given: Mixture of water and milk in container A is $3:2$ and Mixture of water and milk in container B is $4:3$.

Fraction of water in container A $=\frac{3}{5}$

Fraction of milk in container A $=\frac{2}{5}$

Fraction of water in container B $=\frac{4}{7}$

Fraction of milk in container B $=\frac{3}{7}$

Both mixtures of containers A and B were added to the third container,

Fraction of water in the third container $=\frac{3}{5}+\frac{4}{7}$

$=\frac{3\times 7+4\times 5}{35}$

$=\frac{21+20}{35}$

$=\frac{41}{35}$

Fraction of Milk in the third container $=\frac{2}{5}+\frac{3}{7}$

$=\frac{2\times 7+3\times 5}{35}$

$=\frac{14+15}{35}$

$=\frac{29}{35}$

The ratio of the water and milk in the third container will be​,

$\frac{41}{35}:\frac{29}{35}=41:29$