The average weight of 12 apples is 0.5 kg. If 3 watermelons are added in the bag (in which the apples are kept) then the calculated average weight increases by 0.5 kg. What is the weight of 3 watermelons?
1). 6
2). 10
3). 9
4). 14
$({\rm{Average}} = \frac{{{\rm{total\;weight\;of\;all\;items}}}}{{{\rm{number\;of\;items}}}})$
The average weight of 12 apples = 0.5 kg
∴ The total weight of 12 apples = 0.5 × 12 = 6 kg
The average weight of (12 apples and 3 watermelons = 15 items) = 0.5 + 0.5 = 1 kg
∴ Total weight of 15 items = 1 × 15 = 15 kg
∴ The weight of 3 watermelons = 15 - 6 = 9 kg