Question

Three pots have the same volume . The ratio of milk to water in first , second and third pots are 1:2, 2:3 and 5:4 respectively .If the liquid of all three pots are mixed , then the quantity of milk in the fourth pot is found to be 174 litres, find the quantity of water in the fourth pot?

Answer 1

231 litres
look lcm of sum.of ratios(3,5,9)=45 now divide 45 ml in the ratio 1.2 2.3 and 5.4 to get respective volumes, milk total here comes to 58 litres ,now since 58×3=174 so all volumes of milk and water is multiplied by 3

Answer 2

Answer: 231 liter.

Step-by-step explanation:

after mixing three pots mixture.

the final ratio between milk and water is,

$\frac{1}{3}+\frac{2}{5}+\frac{5}{9} : \frac{2}{3}+\frac{3}{5}+\frac{4}{9}\\\\\frac{15+18+25}{45} : \frac{30+27+20}{45}\\\\58 :77$

it means in fourth pot 58x milk and 77x water.

given that milk is 174 liter.

so 58x = 174

  x = 3

it means in fourth pot water is 77*3 = 231 liter.