Question

a basket contains three types of fruits weighing 58/3 kg in all. if 73/9 kg of these be apples, 19/6 kg be oranges and the rest pears. what is the weight of the pears in the basket?

Answer 1

weight of apples + weight of Oranges + weight of Pears = Total weight of all types of fruits

$\frac{73}{9} + \frac{19}{6} + weight of Pears = \frac{58}{3} kg \\ \\ Weight\ of\ Pears\ =\ \frac{58}{3} - \frac{73}{9} - \frac{19}{6} kg\\ \\ = \frac{6*58 - 2*73 - 3*19}{18} kg\\ \\ = \frac{ 348 - 146 - 57 }{18} kg\\ \frac{145}{18} kg \\ \\ = 8.05 kg$

Answer 2

Weight of apple + weight of oranges + weight of pears = weight of all fruits

$\frac{73}{9} + \frac{19}{6} + x = \frac{58}{3}$

$x = \frac{58}{3} - \frac{73}{9} - \frac{19}{6}$

$x = \frac{348-146-57}{18} = \frac{145}{18} = 8.05$

Weight of pears = 8.05 kg