Question

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

Answer 1

Hint: As the number of books are unknown, so take a variable ‘x’ for the number of books. Multiply the variable by ‘5’ as it is given that five times the number of books. Then Equate the obtained multiplication with ‘95’.

Complete step by step answer:
The given phrase we have “Five times the number of books is 95”
In order to convert it to an algebraic expression, we have to take each possible mathematical operation into account.
Since we don’t know the number of books
So first we have to take a variable in terms of number of books, let say it as ‘x’
Now, five times the number of books means, we have to multiply the taken variable ‘x’ by ‘5’.
So, multiplying the variable ‘x’ by ‘5’, we get $x\times 5=5x$
Again, the phrase “Five times the number of books is 95” means we have to equate to the multiplication of ‘x’ and ‘5’ with ‘95’.
So, equating ‘5x’ with ‘95’, we get
$\Rightarrow 5x=95$
Hence, the algebraic expression of the phase “Five times the number of books is 95” is $5x=95$.
This is the required solution of the given question.

Note: Since the variable ‘x’ is taken as the number of books, hence after getting the algebraic equation we can also find the number of books by solving the equation $5x=95$ as follows
$\begin{align}
  & 5x=95 \\
 & \Rightarrow x=\dfrac{95}{5} \\
 & \Rightarrow x=19 \\
\end{align}$
So, the number of books is ‘19’.