Jose studied

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

Correct answer:

n =  8

Step-by-step explanation:

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

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