Daily Mail Mindbender 4 Auggust 2023

[ginger1945]

'Milo's bowl is a quarter full of water, and Maisy's is four-fifths full. When Maisy isn't
looking, Milo tips five-sixths of Maisy's water into his bowl, filling it completely. If there is a total of 368 ml of water in the two bowls, hold much does Milo's bowl hold when full?
How is the answer 320ml arrived at?

tia

[petland]

If Milo's bowl holds 320ml then he starts with 80ml (one quarter) so 240ml is transferred from Maisy who starts with 288ml (368 - 80). 5/6ths of 288 = 240. The mention of 4/5ths is irrelevant.

[JJ109]

Let A = the amount in Milo's cup and B = the amount in Maisys cup
Therefore A + B = 368

As Milo's cupis one quarter full, we know that the amount tipped from Maisy's cup is 3/4 of the capacity or simply 3A

Therefore 5/6 B = 3A
A = 5/18 B
5/18 B + B = 368
23/18 B = 368
B = 288
Therefore A = 368 - 288 = 80
80 is a quarter of the capacity so the capacity = 4 * 80 = 320

[ginger1945]

Much obliged- been bugging for a while. Moreso I solved similar puzzle last year. grey hairs are now in the brain