Question

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

Answer 1

"Five times the number of books is 95" translates to `5*n = 95`.

Explanation:

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

I hope this helps,
Steve

Answer 2

The algebraic expression is `5xxn=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 `5xxn=95` or `5n=95`.

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