Question

There are 22 Cub Scouts in Pack 364. The number of scouts is 2 more than 5 times the number of adult leaders. Find the number of adult leaders.

Answer 1

Let be:

• C: The number of Cub scouts

,

• A: The number of adult leaders

Then, we can write the following equation:

`C=2+5A`

We know that there are 22 Cub Scouts, then we have

`\begin{gathered} C=22 \\ C=2+5A \\ 22=2+5A \end{gathered}`

Now, we can solve the above equation for A:

`\begin{gathered} 22=2+5A \\ \text{ Subtract 2 from both sides of the equation} \\ 22-2=2+5A-2 \\ 20=5A \\ \text{ Divide by 5 from both sides of the equation} \\ (20)/(5)=(5A)/(5) \\ \boldsymbol{4=A} \end{gathered}`

Therefore, there are 4 adult leaders in Pack 364.