In three vessels the ratio of water and milk is 6 : 7, 5 : 9 and 8 : 7, respectively. If the mixtures of the three vessels are mixed together then what will be the ratio of water and milk?

3691 : 4499

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

15 : 13

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2498 : 3051

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 : 19

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 3691 : 4499
Vessel Water Milk
1 $\frac{6}{13}$ $\frac{7}{13}$
2 $\frac{5}{14}$ $\frac{9}{14}$
3 $\frac{8}{15}$ $\frac{7}{15}$
$∴ P r o p o r t i o n o f w a t e r = \frac{6}{13} + \frac{5}{14} + \frac{8}{15} = \frac{1260 + 975 + 1456}{2730} = \frac{3691}{2730}$
$P r o p o r t i o n o f m i l k = \frac{7}{13} + \frac{9}{14} + \frac{7}{15} = \frac{1470 + 1755 + 1274}{2730} = \frac{4499}{2730}$
$∴ R e q u i r e d r a t i o = \frac{3691}{2730} : \frac{4499}{2730} = 3691 : 4499$

Suggest Corrections

Similar questions

Q. In two vessels A and B, there is mixture of milk and water. The ratio of milk and water in these vessels is 5:2 and 8:5, respectively. In what ratio these mixtures be mixed together, so that the ratio of milk and water in the new mixture becomes 9:4?

Q. Three containers A, B and C are having mixtures of milk and water in the ratio 1 : 5, 3 : 5 and 5 : 7 respectively If the capacities of the containers are in the ratio 5 : 4 : 5 then find the ratio of the milk to the water if the mixtures of all the three containers are mixed together

Q. Two vessels contain mixtures of milk and water in the ratio

4 : 9

in the first vessel and in the ratio of

2 : 7

in the secopnd vessel

.

in what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of

2 : 5

Q. Three containers A, B and C are having mixtures of milk and water in the ratio of 1:5, 3:5, 5:7 respectively. If the capacities of the containers are in the ratio 5:4:5, find the ratio of milk to water, if all the three containers are mixed together.

Milk and water are mixed in the ratio 5 $:$ 2 in vessel A, whereas in vessel B in the ratio 8 $:$ 5. What ratio of mixtures must be taken from the two vessels so as to get a mixture where the ratio of milk $:$ water is 9 $:$ 4?

Join BYJU'S Learning Program

In three vessels the ratio of water and milk is 6 : 7, 5 : 9 and 8 : 7, respectively. If the mixtures of the three vessels are mixed together then what will be the ratio of water and milk?

The correct option is A 3691 : 4499Vessel Water Milk1 613 7132 514 9143 815 715∴Proportionofwater=613+514+815=1260+975+14562730=36912730Proportionofmilk=713+914+715=1470+1755+12742730=44992730∴Requiredratio=36912730:44992730=3691:4499