Question

The number of pages in each book are 7a${}^3$ + 8b. If the total number of pages in all books are 14a${}^4$ + 16ab, how many books are there?

• A. 2b
• B. 2a
• C. a
• D. 2

Answer 1

The correct option is B 2a

Number of pages in each book = 7a${}^3$ + 8b
Number of pages in all the books = 14a${}^4$ + 16ab
= 2a(7a${}^3$ + 8b)
Number of books = 2a(7a${}^3$ + 8b) $÷$ (7$a^3$ + 8b)
= $\frac{2a(7a^3+8b)}{7a^3+8b}$
= 2a