吉米把工资中的 $1200 给了他的母亲。他把剩下工资的 $\frac{5}{8}$ 给了他的兄弟，最后还剩下他总工资的 $\frac{1}{4}$。吉米的工资是多少？ 答案：$ ___

1. Determine the fraction of the remainder that Jimmy had left

Jimmy gave $\frac{5}{8}$ of the remainder to his brother.
Fraction of remainder left = $1 - \frac{5}{8} = \frac{3}{8}$

2. Relate the fraction of the remainder to the fraction of the total salary

We are given that he had $\frac{1}{4}$ of his total salary left.
So, $\frac{3}{8}$ of the remainder = $\frac{1}{4}$ of the total salary.
Let the remainder be $R$ and total salary be $S$.
$\frac{3}{8} R = \frac{1}{4} S$
$R = \frac{1}{4} \times \frac{8}{3} S = \frac{2}{3} S$

3. Find the fraction of the total salary given to his mother

The amount given to his mother is the difference between the total salary and the remainder.
Fraction given to mother = $1 - \frac{2}{3} = \frac{1}{3}$ of the total salary.

4. Calculate the total salary

$\frac{1}{3}$ of total salary = $\char36{}1200$
Total salary = $\char36{}1200 \times 3 = \char36{}3600$