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24 January, 13:49

At a banquet, the ratio of the number of boys to the number of girls is 5 : 3. 20 boys leave and the ratio becomes 5 : 4. How many girls are at the banquet?

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  1. 24 January, 14:56
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    There are 48 girls at the banquet

    Step-by-step explanation:

    Let the number of boys = x

    Let the number of girls=y

    Ratio Of boys to girls=5:3

    Therefore, x:y=5:3 ... (1)

    If 20 boys leave, the ratio becomes 5:4

    Sine number of boys=x

    If 20 boys leave, new number = x-20

    Therefore, x-20:y=5:4 ... (2)

    From (1),

    3x=5y

    From Equation (2),

    4 (x-20) = 5y

    Therefore: 3x=4x-80

    x=80

    From (1),

    3x=5y

    5y=3X80

    y=240/5=48

    Therefore, there are 48 girls at the banquet
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