Rene earned

Rene earned P12,000.00 last month; if he spent 1/6 of the amount in room rent, 1/3 for food, 2/10 for clothing, and 1/5 for recreation, and saved the rest, How much is his saving?

Correct answer:

x =  1200

Step-by-step explanation:

$$\begin{gathered} a=12000.00 \\ s=\frac{1}{6}+\frac{1}{3}+\frac{2}{10}+\frac{1}{5}=\frac{5}{30}+\frac{10}{30}+\frac{6}{30}+\frac{6}{30}=\frac{5+10+6+6}{30}=\frac{27}{30}=\frac{9}{10}=0.9 \\ r=1-s=1-\frac{9}{10}=\frac{1\cdot 10}{10}-\frac{9}{10}=\frac{10}{10}-\frac{9}{10}=\frac{10-9}{10}=\frac{1}{10}=0.1 \\ x=a\cdot r=12000\cdot \frac{1}{10}=\frac{12000\cdot 1}{10}=\frac{12000}{10}=1200 \end{gathered}$$

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