Reshmi Khatun has filled 3 similar glasses of equal size with beverage. The ratios of measurements of water and syrup in these three glasses are 3:1, 5:3 and 9:7 respectively. I poured the beverage of these three glasses into a big vessel. Let’s work out the ratio of measurements of water and syrup in the new vessel.

ratio of water and syrup in first glass = 3:1

ratio of water and syrup in second glass = 5:3

ratio of water and syrup in third glass =9:7

Let the capacity of glass be 12 units.

So,

Quantity of water in first glass units

= 9 units

Quantity of syrup in first glass = 12 – 9 = 3 units

Quantity of water in second glass 7.5 units

Quantity of syrup in second glass = 12 – 7.5 = 4.5 units

Quantity of water in third glass 6.75 units

Quantity of syrup in third glass = 12 – 6.75 = 5.25 units

Total quantity of water = 9 + 7.5 + 6.75 = 23.25 units

Total quantity of syrup = 3 + 4.5 + 5.25 = 12.75 units

So, ratio of water and syrup in new vessel

Water: syrup = 31: 17