Mr Juma

Mr. Juma paid his workers as follows. He gave 1/6 to the first, 2/3 of the remainder to the second, and 2400 to the third worker. How much money did he have at the beginning?

Correct answer:

x =  8640

Step-by-step explanation:

$$\begin{gathered} \frac{x}{6}+\frac{2}{3}\cdot (x-\frac{x}{6})+2400=x \\ x/6+2/3\cdot (x-x/6)+2400=x \\ 1.666667x=14400 \\ x=\frac{14400}{1.66666667}=8639.99999999 \\ x=8640 \end{gathered}$$

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