Question

$$12$$ 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 $$kg$$

Answer 1

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