#### Explanation:

Lets say "x" to "Savings";

$x - \left(1600 + \left(2 \frac{x - 1600}{5}\right)\right) = \frac{x}{3}$

• (Because x is total amaount of savings and he spent $1600 so now he has $2 \div 5$of the total amount -$1600)
• ($x \div 3$ Because he has $1 \div 3$ of his original amount of savings)

So what is x? Its:

$x + \left(- 1600 - \frac{2 x - 3200}{5}\right)$ = $\frac{x}{3}$

$3 x + 3 \left(- 1600 + \frac{- 2 x + 3200}{5}\right) = x$

$3 x + \left(- 4800 + \frac{- 6 x + 9600}{5}\right) = x$

$3 x + \left(- 4800 - 1.2 x + 1920\right) = x$

$2 x = 4800 + 1.2 x - 1920$

$0.8 x = 2880$

$x = 3600$