Answer: the correct option is
(C) \(5n=8n+30.\)
Step-by-step explanation: Given that five times a number is the same as 30 more than 8 times the number.
We are to find the number.
Also, if the number is denoted by n, then we are to select the equation that could be used to solve for the number.
Since n is the given number, so five times the number is written as
\(5\times n=5n.\)
Also, 30 more than eight times the number is written as
\(8\times n+30=8n+30.\)
Since both the expressions are same, so we get
\(5n=8n+30\\\\\Rightarrow 8n-5n=-30\\\\\Rightarrow 3n=-30\\\\\Rightarrow n=-\dfrac{30}{3}\\\\\Rightarrow n=-10.\)
Thus, the required number is -10 and the the equation that is used to solve for the number is \(5n=8n+30.\)
Option (C) is CORRECT.
