A basket 2

A basket contains three types of fruits weighing 87/4 kg in all. If 23/4 kilograms of these are oranges, 48/7 kg are mangoes, and the rest are apples. What is the weight of the apples in the basket?

Final Answer:

a =  9.1429 kg

Step-by-step explanation:

$$\begin{gathered} b=\frac{87}{4}=21.75\text{kg} \\ o=\frac{23}{4}=5.75\text{kg} \\ m=\frac{48}{7}\doteq 6.8571\text{kg} \\ f=m+o=\frac{48}{7}+\frac{23}{4}=\frac{192}{28}+\frac{161}{28}=\frac{192+161}{28}=\frac{353}{28}\doteq 12.6071\text{kg} \\ a=b-f=\frac{87}{4}-\frac{353}{28}=\frac{609}{28}-\frac{353}{28}=\frac{609-353}{28}=\frac{256}{28}=\frac{64}{7}\text{kg}=9.1429\text{kg} \end{gathered}$$

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