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Kayla is working two summer jobs, making \$10 per hour lifeguarding and \$21 per hour tutoring. Last week Kayla worked 4 times as many hours tutoring as she worked lifeguarding and earned a total of $\$ 188$. Write a system of equations that could be used to determine the number of hours Kayla worked lifeguarding last week and the number of hours she worked tutoring last week. Define the variables that you use to write the system.
Answer Attempt 1 out of 2

Let $=$

Let $=$

System of Equations:

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Step 1 ：Define the variables: Let L be the number of hours Kayla worked lifeguarding and T be the number of hours Kayla worked tutoring.

Step 2 ：Form the first equation from the total money Kayla earned: \(10L + 21T = 188\).

Step 3 ：Form the second equation from the number of hours Kayla worked: \(T = 4L\).

Step 4 ：Solve the system of equations to find that Kayla worked 2 hours lifeguarding and 8 hours tutoring last week.

Step 5 ：Final Answer: The system of equations is \(\boxed{10L + 21T = 188}\) and \(\boxed{T = 4L}\), where L is the number of hours Kayla worked lifeguarding and T is the number of hours she worked tutoring.