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Roberto's Club has a secret knock for its Clubhouse door that only its members know. The members remember to knock on the door exactly n times in a row, were five more than three times n and is equal to the difference between 21 and n . How many times in a row do members knock on the clubhouse door?

Robertos Club has a secret knock for its Clubhouse door that only its members know The members remember to knock on the door exactly n times in a row were five class=

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Answer:

[tex]\text{ They knock 4 times on the clubhouse door.}[/tex]

Step-by-step explanation:

Let n be the times that they knock on the door.

If five more than three times n and is equal to the difference between 21 and n;

[tex]3n+5=21-n[/tex]

Solve for n, using inverse operations to solve equations:

[tex]\begin{gathered} 3n+n=21-5 \\ 4n=16 \\ n=\frac{16}{4} \\ n=4\text{ } \\ \text{ They knock 4 times on the clubhouse door.} \end{gathered}[/tex]

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