#### Explanation:

Let $\textcolor{red}{x}$ be the amount of money Danny had at first.

since Danny spent $\textcolor{red}{\frac{9}{11}}$ of his money,
amount of money spent by him $= \frac{9}{11} \cdot x$
$\therefore$money left with him $= x - \frac{9}{11} \cdot x$

but we are given that he had $88 left. $\implies x - \frac{9}{11} \cdot x = 88$$\implies \frac{11 x - 9 x}{11} = 88$$\implies \frac{2 x}{11} = 88$$\implies x = 88 \cdot \frac{11}{2} = 44 \cdot 11 = \textcolor{red}{484}$$\therefore$Danny initially had$484

Apr 3, 2017

He had $484 #### Explanation: We can calculate this using direct proportion. If he spends $\frac{9}{11}$, it means he has $\frac{2}{11}$of the money left. If we know how much $2$parts is, we can find how much $9$parts is. $\frac{2}{9} = \frac{88}{x}$$x = \frac{88 \times 9}{2}$x =$484

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Or, you can increase $88$ in the ratio $9 : 2$

$88 \times \frac{9}{2}$

=$484 Apr 3, 2017 Initial sum was: $484.00

#### Explanation:

Let the initial value be $v$

Spent $\frac{9}{11} v$

Left 2/11v=$88.00 v=11/2xx$88.00=\$484.00