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13 May, 18:49

The ratio of the volume of fruit juice to the volume of smoothie at a party was 4.5 : 2.4. There were 35 liters more fruit juice served than smoothies. Find the Volume of smoothies served

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  1. 13 May, 18:51
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    X=volume in liters of frut juice.

    y=volume in liters of smoothies.

    We can suggest the following system of equations:

    x=y+35

    x/y=4.5/2.4

    We can solve this system by substituion method.

    (y+35) / y=4.5/2.4

    2.4 (y+35) = 4.5y

    2.4y+84=4.5y

    4.5y-2.4y=84

    2.1y=84

    y=84/2.1

    y=40

    x=y+35

    x=40+35

    x=75

    Answer: The volume of smoothies served was 40 liters.
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