Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3:7 and in the second it is 7:9. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?

Let the capacity of each container be equal.
In the first container, the ratio of milk to water is 3:7. Sum of parts = 3+7=10.

In the second container, the ratio of milk to water is 7:9. Sum of parts = 7+9=16.

To make the capacities equal, we find the LCM of 10 and 16, which is 80.
Let the capacity of each container be 80 units.

First Container:

Milk=
10
3
​
×80=24units
Water=
10
7
​
×80=56units
Second Container:

Milk=
16
7
​
×80=35units
Water=
16
9
​
×80=45units
When mixed together in a bigger container:

Total Milk=24+35=59units
Total Water=56+45=101units
Thus, the resulting ratio of milk to water is 59:101.