肯（Ken）按 3:4:5 的比例分别将他的月薪分配为日常支出、消费和储蓄。后来他决定日常支出增加 $1200，新的比例变为 9:8:7。
计算他的月薪。答案 ...

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完整解法

1. Write the original and new daily expenses as fractions of the monthly salary.

Original ratio: daily expenses : spending : saving $=3:4:5$

Total parts originally $=3+4+5=12$ .

Original daily expenses $=\dfrac{3}{12}=\dfrac{1}{4}$ of the salary.

New ratio $=9:8:7$

Total parts now $=9+8+7=24$ .

New daily expenses $=\dfrac{9}{24}=\dfrac{3}{8}$ of the salary.

2. Find the fraction of the salary represented by the increase of \$1200.

Increase in daily expenses
$=\dfrac{3}{8}-\dfrac{1}{4}$
$=\dfrac{3}{8}-\dfrac{2}{8}$
$=\dfrac{1}{8}$

So $\dfrac{1}{8}$ of the monthly salary is $1200.

3. Calculate the monthly salary.

Monthly salary
$=1200\times 8$
$=9600$

答案

$9600

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