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.
Question
Kayla is working two summer jobs, making 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.
Solution
Let's define:
L = the number of hours Kayla worked lifeguarding T = the number of hours Kayla worked tutoring
From the problem, we know that Kayla worked 4 times as many hours tutoring as she worked lifeguarding. This gives us our first equation:
T = 4L
We also know that Kayla earned a total of 10 per hour lifeguarding and $21 per hour tutoring. This gives us our second equation:
10L + 21T = 188
So, the system of equations is:
T = 4L 10L + 21T = 188
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