Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.
From the information given, we can create two equations:
2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)
1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)
To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.
From the first equation, we can solve for y in terms of x:
y = 83 - 2x
Substituting this into the second equation, we get:
1x + 3(83 - 2x) = 164
Simplifying and solving for x, we get:
x = 30
Substituting this value of x into either of the two equations, we can solve for y:
2(30) + y = 83
y = 23
Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.
Explanation: