Emily receives her paycheck for the month. She spends 1/6 of it on food. She the

Question

Emily receives her paycheck for the month. She spends 1/6 of it on food. She then spends 3/5 of what remains on her house payment. She spends 1/3 of what is then left for her other bills. Finally she spends 1/4 of the remaining money for entertainment. This activity leaves her with $150, which she puts into savings. What was her original take home pay. Please describe the work involved thank you so much. Emily receives her paycheck for the month. She spends 1/6 of it on food. She then spends 3/5 of what remains on her house payment. She spends 1/3 of what is then left for her other bills. Finally she spends 1/4 of the remaining money for entertainment. This activity leaves her with $150, which she puts into savings. What was her original take home pay. Please describe the work involved thank you so much. Please describe the work involved thank you so much.

Explanation / Answer

Let the amount received by Emily be x

Expenditure of Food = x * 1/6 = 1/6x

Expenditure on hourse payment = (x - 1/6x) * (3/5) = x/2

Expenditure on other bills = (x - x/6 - x/2) * 1/3 = (x/3) * 1/3 = (x/9)

Expenditure on entertainment = (x - x/6 - x/2 - x/9) * 1/4 = 1/18x

Savings = Salary - Total expenditure

x - x/6 - x/2 - x/9 - x/18 = 150

(18-3-9-2-1)x/18 = 150

x/6 = 150

x = 900

Hence emily monthly salary is equal to 900$

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