Question

A stack of books is 24 inches high.

Answer 1

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.