alligation

Since it says equal quantities from all of them. Lets suppose we take 120 litres from each.

1st: 80liters milk + 40 liters water
2nd: 72liters milk + 48liters water
3rd: 75liters milk + 45liters water.

Total: 227liters milk + 133liters water.

227/133 is the answer.

You want equal quantities of each sample, so try and choose a number that is easy to divide into each ratio. Best way to do this is to add each ratio. 2+1 =3 ; 3+2=5; 5+3=8 Now find the LCM of 3,5 and 8 => 120

Take 120 as the quantity of each sample.

Sample A which is 2:1 has 80ml milk and 40ml water
Sample B which is 3:2 has 72ml milk and 48ml water
Sample C which is 5:3 has 75ml milk and 45ml water

Add all 3.

This gives us a sample that has 227ml milk and 133ml water

So the ratio is 227/133

albatross86 wrote:You want equal quantities of each sample, so try and choose a number that is easy to divide into each ratio. Best way to do this is to add each ratio. 2+1 =3 ; 3+2=5; 5+3=8 Now find the LCM of 3,5 and 8 => 120

Take 120 as the quantity of each sample.

Sample A which is 2:1 has 80ml milk and 40ml water
Sample B which is 3:2 has 72ml milk and 48ml water
Sample C which is 5:3 has 75ml milk and 45ml water

Add all 3.

This gives us a sample that has 227ml milk and 133ml water

So the ratio is 227/133

You have to get faster, cowboy

Your explanation is better than mine, though

Hahaha, Quick-draw McGraw eh?

Yeah this reminds me of those weekly challenges on BTG where people camp the live feed to be the FIRST to comment and win the goodies

Except here there's no goodies, other than the imaginary "I-WIN" button on your lapel I suppose

Still fun though

This forum ain't big enough for the both of us, buddy

Let the equal quantity be X

Milk proportions in each samples are 2x/3,3x/5,5x/8

Adding we get 227x/120

Water proportions in each samples are x/3,2x/5,3x/8

Adding we get 133x/120

So milk and water proportion in mixture is 227x/120/133x/120=227/133

[email protected] wrote:The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of
all 3 samples is made. The proportion of milk and water in the mixture is

best take a lcm of 3,5,8 (adding of proportion) you get 120
now 1st sample proportion of milk and water = 80:40
now 2nd sample proportion of milk and water=72:48
3rd sample proportion of milk and water =75:45
after adding proportion of milk and water=227:133