Come on, have a cup of tea

Dhudhnath has two vessels containing 720 ml 720\text{ ml} and 405 ml 405\text{ ml} of milk respectively.

Milk from these containers is poured into glasses of equal capacity to their brim, but the milk from the two different vessels ( 720 ml 720\text{ ml} and 405 ml 405\text{ ml} ) can not be poured together in a single glass. They have to be poured separately into glasses of equal capacity.

Find the minimum number of glasses that can be filled.

10 15 25 20

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1 solution

Roger Erisman
Oct 10, 2016

Let p = common amount each glass will hold, x = number of glasses from the 720 mL, and y = number of glasses from 405 mL.

720 = p * x and 405 = p * y which leads to 720 / x = 405 / y

Therefore x / y = 720 / 405 = 16 / 9

16 + 9 = 25

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