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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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