Jose studied

Jose studied for 4 and 1/2 hours on Saturday and another 6 and 1/4 hours on Sunday. He has allowed 1 and 1/2 hours per subject on Saturday and 1 and 1/4 hours per Sunday. How many subjects did he study?

Final Answer:

n =  8

Step-by-step explanation:

$$\begin{gathered} s_1=4\frac{1}{2}=4+\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}=4\frac{1}{2}=4.5\text{h} \\ {s}_2=6\frac{1}{4}=6+\frac{1}{4}=\frac{6\cdot 4+1}{4}=\frac{24+1}{4}=\frac{25}{4}=6\frac{1}{4}=6.25\text{h} \\ {n}_1=s_1/1\frac{1}{2}=\frac{9}{2}/1\frac{1}{2}=\frac{9}{2}/\frac{3}{2}=\frac{9}{2}:\frac{3}{2}=\frac{9}{2}\cdot \frac{2}{3}=\frac{9\cdot 2}{2\cdot 3}=\frac{18}{6}=3 \\ {n}_2=s_2/1\frac{1}{4}=\frac{25}{4}/1\frac{1}{4}=\frac{25}{4}/\frac{5}{4}=\frac{25}{4}:\frac{5}{4}=\frac{25}{4}\cdot \frac{4}{5}=\frac{25\cdot 4}{4\cdot 5}=\frac{100}{20}=5 \\ n=n_1+n_2=3+5=8 \end{gathered}$$

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