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?
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
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.)