Final answer:
Reagan takes approximately 101 minutes per client for haircuts and hair color before lunch, and approximately 89 minutes per client after lunch.
Step-by-step explanation:
To find out how long it takes Reagan to perform each type of service, we need to calculate the average time per client. Before lunch, Reagan gave 3 haircuts and colored the hair of 3 clients in 303 minutes. The average time per client is 303 minutes divided by 3 clients, which is 101 minutes per client. After lunch, Reagan gave 2 haircuts and colored the hair of 4 clients in 356 minutes. The average time per client is 356 minutes divided by 4 clients, which is 89 minutes per client. Therefore, Reagan takes approximately 101 minutes per client for haircuts and hair color before lunch, and approximately 89 minutes per client after lunch.