High School

The weight of 72 copies of a book is 56 kg.

(i) What is the weight of 45 copies?
(ii) How many copies will weigh 84 kg?

A) (i) 35 kg, (ii) 108 copies
B) (i) 40 kg, (ii) 60 copies
C) (i) 45 kg, (ii) 72 copies
D) (i) 50 kg, (ii) 84 copies

Answer :

The weight of one book is obtained by dividing the total weight by the total number of books. This figure can be used to find the weight of 45 copies and the number of copies in 84 kg, which are 35 kg and 108 copies respectively (option a).

The main answer to this question involves simple division and multiplication to ascertain the weight of a single book and then determining the weight of a given number of copies as well as the number of copies given the weight. Firstly, we can find the weight of one copy of the book by dividing the total weight of the books (56 kg) by the total number of books (72). The result of this calculation is about 0.77778 kg per book. Secondly, to find out the weight of 45 copies, you would multiply the weight of one book by 45, resulting in 35 kg. Finally, to determine how many copies makeup 84 kg, you would divide the total weight (84 kg) by the weight of one book. The result is 108 books. Therefore, the answer is A) (i) 35 kg, and (ii) 108 copies.

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