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Math Help - Ratio Problem

  1. #1
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    Ratio Problem

    Hey guys, any help you can provide for this question here would be super.

    A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio 6:2.5:1. How much fruit juice and vodka should be mixed with a 2 litre bottle of ginger ale?
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  2. #2
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    Quote Originally Posted by Chris895 View Post
    Hey guys, any help you can provide for this question here would be super.

    A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio 6:2.5:1. How much fruit juice and vodka should be mixed with a 2 litre bottle of ginger ale?
    Juice:Ginger:Vodka
    6 : 2,5 : 1

    Juice:Ginger:Vodka
    x : 2 : y

    Handle each ratio seperately.

    The ratio between Juice and Ginger is 6: 2,5

    So:

    \frac{6}{x} = \frac{2,5}{2}

    Solve for x

    x = 4,8

    Juice = 4,8 units

    The Juice to Vodka ratio is 6:1 [You could also have used the 2,5:1 Ginger:Vodka ratio]

    Solve using the same method as above.

    y = 0,8

    So then Vodka = 0,8 units
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  3. #3
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    Hello, Chris895!

    A punch recipe calls for fruit juice, ginger ale and vodka to be mixed in the ratio 6 : 2.5 : 1
    How much fruit juice and vodka should be mixed with a 2-litre bottle of ginger ale?

    The ratio is: . F:G:V \:=\:6a:2.5a:a . for some constant a.

    We are told that: . G \:=\:2.5a \:=\:2 litres.

    . . Hence: . a \:=\:0.8


    Therefore: . F \:= \:6a \: = \:6(0.8) \:=\:4.8 litres
    . . . . . . . . V \:=\:a\;=\;0.8 litres.

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  4. #4
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    Thanks guys!
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