Balance of money

Tom earned 480 bucks working in a warehouse. ⅓ of that he paid in taxes and insurance, then on the way home from the warehouse he paid 1/240 of his earnings for a mug of coffee, ¼ to the police as a fine for drinking coffee on the street, ⅙ he paid as a fine for parking in front of the pick-up window where he bought the coffee. Then he paid ⅛ for a tire, which some delinquent cut for him while he was arguing with the police about parking. Then he spent 1/24 of his earnings on phone calls, to find out that he could not afford any lawyer who would help him. How much money did he have left for the journey very far from there?

Final Answer:

x =  38

Step-by-step explanation:

$$\begin{gathered} a=480 \\ q=\frac{1}{3}+\frac{1}{240}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}+\frac{1}{24}=\frac{221}{240}\doteq 0.9208 \\ b=a\cdot q=480\cdot \frac{221}{240}=\frac{480\cdot 221}{240}=\frac{106080}{240}=442 \\ x=a-b=480-442=38 \end{gathered}$$

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