A man

A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent

Correct result:

x =  440

Solution:

$$\begin{gathered} 5\mathrm{/}9a+5\mathrm{/}16\cdot (a-5\mathrm{/}9a)=550 \\ 5\mathrm{/}9\cdot a+5\mathrm{/}16\cdot (a-5\mathrm{/}9\cdot a)=550 \\ 100a=79200 \\ a=792 \\ x=5\mathrm{/}9\cdot a=5\mathrm{/}9\cdot 792=440 \end{gathered}$$

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