Question

Two vessels A and B contain milk and water mixed in the ratio 5:2 and 1:5, respectively. Find the ratio of milk to water when the contents of the two vessels are mixed.

(a) 5:7
(b) 7:5
(c) 5:6
(d) 6:5

Answer 1

To find the ratio of milk to water when two mixtures are combined, assume volumes that match the ratios, add the amounts of milk and water separately, and calculate the new ratio. The combined ratio is 6:7.

Step-by-step explanation:

The question involves finding the ratio of milk to water when two solutions with different ratios are mixed together. In vessel A, the ratio is 5:2 for milk to water, and in vessel B, it is 1:5. A common approach to solve these kinds of problems is to assume a certain volume for each vessel to make the calculations simpler.

For example, let's assume we have 7 liters of the mixture from vessel A and another 6 liters from vessel B, chosen because these volumes align with the ratio amounts (5+2=7 and 1+5=6). We would then have 5 liters of milk and 2 liters of water from vessel A and 1 liter of milk and 5 liters of water from vessel B. When combined, we would have 5+1=6 liters of milk and 2+5=7 liters of water.

Thus, the combined ratio of milk to water from both vessels is 6:7. To concentrate on the most relevant units of measurement, remember that when working with volumes, liter is a more appropriate unit than milliliters for larger quantities, and can easily be converted if needed (1 liter = 1000 milliliters).