$$12$$ cakes of soap together weigh $$5 kg$$ and $$604 gm$$. Find the weight of
(i) One cake in both kg and gramme
(ii) $$5$$ cakes in $$kg$$
Given
Weight of $$12$$ cakes of soap $$= 5$$ kg and $$604$$ gm
$$604$$ gm $$= 5$$ kg and $$604 / 1000$$ kg
$$= 5.604$$ kg
(i) Weight of $$12$$ cakes$$ = 5.604$$ kg
Hence, weight of $$1$$ cake $$= 5.604 / 12$$
$$= 0.467kg$$
Weight in gm $$= 0.467 × 1000$$
$$= 467$$ gm
(ii) Weight of one cake $$= 0.467$$ kg
Weight of $$5$$ cakes can be calculated as below
Weight of $$5$$ cakes $$= 0.467 × 5$$
$$= 2.335$$ kg