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Math Help - ratio hard

  1. #1
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    ratio 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?
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  2. #2
    Super Member craig's Avatar
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    Quote Originally Posted by andyboy179 View Post
    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?
    How big is a cup?
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  3. #3
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    Quote Originally Posted by craig View Post
    How big is a cup?
    it doesn't say, i wrote down what is says of the sheet, would it be 5 "proper teas"?
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  4. #4
    Super Member craig's Avatar
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    Quote Originally Posted by andyboy179 View Post
    it doesn't say, i wrote down what is says of the sheet, would it be 5 "proper teas"?
    I'm not sure how you can answer this without knowing the size of the cup..
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  5. #5
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    ok thanks for trying, i will just put 5 cups of proper tea and see if it is correct. cheers
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  6. #6
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    Hello andyboy179
    Quote Originally Posted by andyboy179 View Post
    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?
    No, it will be lots more than that!

    With 1 litre of milk, you will need 1\times\frac92 =4.5 litres of tea. So, together with the milk, you'll get 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
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  7. #7
    Senior Member nikhil's Avatar
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    Lightbulb

    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.)
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