Antonio 2

Antonio harvested 100 1/2 kg of fruits from his farm, selling 30 2/3 kg of durian and 34 5/6 kg of mangosteen. How many kilograms of fruit were not sold?

Correct answer:

x =  35 kg

Step-by-step explanation:

$$\begin{gathered} a=100\frac{1}{2}=100+\frac{1}{2}=\frac{100\cdot 2+1}{2}=\frac{200+1}{2}=\frac{201}{2}=100.5\text{kg} \\ d=30\frac{2}{3}=30+\frac{2}{3}=\frac{30\cdot 3+2}{3}=\frac{90+2}{3}=\frac{92}{3}\doteq 30.6667\text{kg} \\ m=34\frac{5}{6}=34+\frac{5}{6}=\frac{34\cdot 6+5}{6}=\frac{204+5}{6}=\frac{209}{6}\doteq 34.8333\text{kg} \\ x=a-d-m=\frac{201}{2}-\frac{92}{3}-\frac{209}{6}=\frac{603}{6}-\frac{184}{6}-\frac{209}{6}=\frac{603-184-209}{6}=\frac{210}{6}=35\text{kg} \end{gathered}$$

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