Answer:
3 adult leaders
Explanation:
Let's call the number of adult leaders "A" and the number of Cub Scouts "C." According to the information given:
1. The total number of Cub Scouts is 17:
C = 17
2. The number of scouts is 2 more than five times the number of adult leaders:
C = 5A + 2
Now, we can use these equations to find the number of adult leaders. First, we'll use equation 2:
C = 5A + 2
Since we know that C is 17 (from equation 1), we can substitute this value into equation 2:
17 = 5A + 2
Now, let's solve for A:
17 - 2 = 5A
15 = 5A
Now, divide both sides by 5 to find the value of A:
A = 15/5
A = 3
So, there are 3 adult leaders in Troop 645.