Question

A basket contains three types of types of fruits weighing 58/3 kg in all. If 73/9 kg of these be apples, 10/6 kg be oranges and the rest pears, what is the weight of the pears in the basket?

Answer 1

$$\begin{gathered} \mathrm{Weight}\mathrm{of}\mathrm{apples}=\frac{73}{9}\mathrm{kg} \\ \mathrm{Weight}\mathrm{of}\mathrm{oranges}=\frac{10}{6}\mathrm{kg}=\frac{5}{3}\mathrm{kg} \\ \mathrm{Now},\mathrm{total}\mathrm{weight}\mathrm{of}\mathrm{fruits}=\frac{58}{3}\mathrm{kg} \\ \mathrm{Weight}\mathrm{of}\mathrm{pears}=\frac{58}{3}-\left(\frac{73}{9}+\frac{5}{3}\right) \\ =\frac{58}{3}-\left(\frac{73+15}{9}\right) \\ =\frac{58}{3}-\frac{88}{9} \\ =\frac{174-88}{9} \\ =\frac{86}{9}\mathrm{kg} \end{gathered}$$