this is my question:

"Proper tea" is made by putting milk and tea together in the ratio 2:9. How much "proper tea" can be made using 1 litre of milk?

would i be 5 cups of tea?

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- Jan 22nd 2010, 07:11 AMandyboy179ratio hard
this is my question:

"Proper tea" is made by putting milk and tea together in the ratio 2:9. How much "proper tea" can be made using 1 litre of milk?

would i be 5 cups of tea? - Jan 22nd 2010, 07:34 AMcraig
- Jan 22nd 2010, 07:35 AMandyboy179
- Jan 22nd 2010, 07:44 AMcraig
- Jan 22nd 2010, 07:46 AMandyboy179
ok thanks for trying, i will just put 5 cups of proper tea and see if it is correct. cheers

- Jan 22nd 2010, 08:01 AMGrandad
Hello andyboy179No, it will be lots more than that!

With $\displaystyle 1$ litre of milk, you will need $\displaystyle 1\times\frac92 =4.5$ litres of tea. So, together with the milk, you'll get $\displaystyle 5.5$ litres of "proper tea".

A typical cup will hold about 200 to 250 ml. So you'll get 4 to 5 cups from a litre. Altogether, then, you'll get around 22 to 28 cups of "proper tea" from a litre of milk.

Grandad - Jan 22nd 2010, 08:12 AMnikhil
in proper tea ratio of milk(say m) and tea (say t) is 2:9 or

m:t=2:9

if milk is 1 litre there for quantity of tea should be

1:t=2:9 or

t=9/2 litre

or t= 4.5 litre

so total liquid quantity is 1+4.5 litre =5.5 litre

now suppose there are n cups with volume v (i litre) then 5.5 litre milk can be put in 5.5/v cups

or n=5.5/v

but same formula can be used in different way i.e

v=5.5/n

so for n=1 i.e if only one cup is used its volume should be 5.5 litre.

if n=2 its volume should be 2.75 litre

in general 5.5 litre of liquid can be filled in any number of cups

therefor answer is

any natural number (**according to it 5 is also correct**)

(though one may neglect those values of n for which v is non-terminating decimal value.)