Given:
There are 13 cub scouts in troop 645.
The number of scouts is 3 more than five times the number of adult leaders.
Required:
We have to find the number of adult leaders.
Step-by-step explanation:
Let L denotes the number of adult leaders and C denotes the number of cub scouts.
Then according to the question, we get the following equation
![C=5L+3](https://img.qammunity.org/2023/formulas/mathematics/college/n8r59wnfphl2nrfjzweosl5kqq949z2z00.png)
Given that
![C=13](https://img.qammunity.org/2023/formulas/mathematics/college/layglakl7o6odz29yjlo5u69a85j9magtc.png)
Then putting this value we get
![\begin{gathered} 13=5L+3 \\ \Rightarrow-5L=3-13 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/v0lwrug26zuv6m6g1d4vf6hl37trsuamzm.png)
![\begin{gathered} \Rightarrow-5L=-10 \\ \Rightarrow L=(-10)/(-5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zkbstu4lk9d12cakw9lo1gn7jrhs82gxu8.png)
![\Rightarrow L=2](https://img.qammunity.org/2023/formulas/mathematics/college/l33ixhqr60htfrileof4b1q7c4i76j4w9w.png)
Final answer:
The number of adult leaders is
![2](https://img.qammunity.org/2023/formulas/mathematics/high-school/92mjklr7y4x1zwg8hyobpthzdu9g0545ri.png)