Question

The number of books kept in a library are $5a^2{b}^3$. If each shelf has $5a{b}^2$ books, how many shelves are there in the library?

• A. $a^{2}b$
• B. $a^2{b}^2$
• C. $ab$
• D. $a{b}^2$

Answer 1

The correct option is C $ab$

Number of books kept in the library $5a^2{b}^3$.
Number of books kept on each shelf = $5a{b}^2$

Total number of shleves in the library = $5a^2{b}^3$ ÷ $5a{b}^2$
= $\frac{5\times a\times a\times b\times b\times b}{5\times a\times b\times b}$
= ab

Thus, the number of shelves in the library are $ab$.