To solve this problem, follow these detailed steps:
1. Define the variable [tex]\( n \)[/tex]. This is the unknown value we need to find.
2. According to the problem, the sum of [tex]\( n \)[/tex] and 5 times [tex]\( n \)[/tex] is 24. We can write this as an equation:
[tex]\[
n + 5n = 24
\][/tex]
3. Combine like terms on the left-hand side of the equation:
[tex]\[
6n = 24
\][/tex]
4. To isolate [tex]\( n \)[/tex], divide both sides of the equation by 6:
[tex]\[
n = \frac{24}{6}
\][/tex]
5. Simplify the fraction on the right-hand side:
[tex]\[
n = 4
\][/tex]
Therefore, the value of [tex]\( n \)[/tex] is [tex]\( 4 \)[/tex].
Among the given answer choices:
- [tex]\( 4 \)[/tex] is correct.
- [tex]\( 4 \frac{4}{5} \)[/tex] (which is [tex]\( 4.8 \)[/tex]) is incorrect.
- [tex]\( 6 \)[/tex] is incorrect.
- [tex]\( 19 \)[/tex] is incorrect.
So, the correct value of [tex]\( n \)[/tex] is [tex]\( 4 \)[/tex].
