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    A beautician's income includes her salary and the tips she gets for her services. During a particular week, if her tips 54\frac{5}{4}45​​ were o
    Question

    A beautician's income includes her salary and the tips she gets for her services. During a particular week, if her tips 54\frac{5}{4}​ were of her salary, then what fraction of her income came from the tips?

    A.

    95\frac{9}{5}​​

    B.

    45\frac{4}{5}​​

    C.

    49\frac{4}{9}​​

    D.

    59\frac{5}{9}​​

    Correct option is D

    Given:

    Tips = 54\frac{5}{4}​of salary.

    Formula Used:

    Income = Salary + Tips.

    Fraction from tips = TipsIncome\frac{\text{Tips}}{\text{Income}}​​

    Solution:

    Let salary = S, Tips = 54S\frac{5}{4}S​​

    Income = S+54SS + \frac{5}{4}S​ = 94S\frac{9}{4}S

    Fraction from tips = 54S94S=59\frac{\frac{5}{4}S}{\frac{9}{4}S} = \frac{5}{9}​​

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