# How do you express the phrase "Five times the number of books is 95" as an algebraic expression?

Mar 13, 2018

"Five times the number of books is 95" translates to $5 \cdot n = 95$.

#### Explanation:

In equations, a common variable name for number is n. But anything could be used.

I hope this helps,
Steve

Mar 13, 2018

The algebraic expression is $5 \times n = 95$ where $n$ is the number of books.

#### Explanation:

Say that the number of books is $n$. Now "translate" the sentence into math. For example, "times" means multiplication and "is" means equals. It looks like this:

stackrel(5) overbrace("Five") " " stackrel(xx) overbrace("times") " " stackrel(n) overbrace("the number of books") " " stackrel(=) overbrace("is") " " stackrel(95) overbrace("95") "."

The final expression is $5 \times n = 95$ or $5 n = 95$.

Solving for $n$ reveals that there are $19$ books.