Sir Toffie

One hot afternoon, Sir Toffie went to his backyard to plant monggo. He discovered that they accidentally mixed different seeds like monggo, pechay, eggplant, and tomatoes in his seed box because of the strong wind. He sieved the mixed seeds and got 4 ¾ scoops of monggo seeds. But he needs to separate bad seeds from good seeds through visual inspection. After testing, he can collect 4 ¼ scoops of good seeds. Sir Toffie wanted to plant it in a seedbox. How many seedboxes can be used if each box needs ¼ scoops of monggo seeds?

Correct answer:

n =  17

Step-by-step explanation:

$$\begin{gathered} a=4\frac{1}{4}=4+\frac{1}{4}=\frac{4\cdot 4+1}{4}=\frac{16+1}{4}=\frac{17}{4}=4\frac{1}{4}=4.25 \\ b=\frac{1}{4}=0.25 \\ n=a/b=\frac{17}{4}/\frac{1}{4}=\frac{17}{4}:\frac{1}{4}=\frac{17}{4}\cdot \frac{4}{1}=\frac{17\cdot 4}{4\cdot 1}=\frac{68}{4}=17 \end{gathered}$$

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