Question

There are 70 historical fiction books in the school library. Historical fiction books make up 1/10 of the library's collection. The equation 1/10b = 70 can be used to find out how many books the library has. solve the equation to find the total number of books in the library's collection. Use numbers and words to explain how to solve 1/10b = 70.

Answer 1

We have the following equation:

$\frac{1}{10}b=70$

where b represents the number of books in the library.

If we multiply by 10 both sides of the equation, we get

$\begin{gathered} 10(\frac{1}{10}b)=10\times70 \\ \frac{10}{10}b=700 \end{gathered}$

This multiplication by 10 in both sides doesnt change the truth value of our equation.

Now, since 10 divided by 10 is 1, we get

$b=700$

Therefore, there are 700 books in the library.