Maths

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in a class the ratio of boys to girls is 3:2, if there are 11 more boys than girls, how many children are in the class

  • Maths -

    first we represent unknowns using variables,,
    let x = number of boys
    let y = number of girls
    according to first statement, ratio of boys to girls is 3:2 or 3/2 . thus we can write,
    x/y = 3/2 or
    x = (3/2)*y
    according to second statement, there are 11 more boys than girls, thus,
    x = y + 11
    substituting the relationship we ot earlier - the x = (3/2)*y - to this :
    (3/2)*y = y + 11
    1.5y = y + 11
    1.5y - y = 11
    0.5y = 11
    y = 22 girls
    substituting this to x = (3/2)*y
    x = 1.5*22
    x = 33 boys

    hope this helps~ :)

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