Parker is working two summer jobs, making $11 per hour lifeguarding and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week.

We can use the equations: 11x + 22y= 242 and x+y=16 to solve in a system of equations to determine the number of hours that Parker worked for each job.

Our system of equations would be
(I’m using the elimination method)
11x + 22y= 242
x+y=16
+
And I will multiply the top equation by - 1/11 to get easier numbers to work with.

So we get:
-x-2y=-22
x+y=16
+

And solving it we get:
-y=-6
y=6

And we plug in y=6 into one of the equations to get x.

x+6=16
x=10.

So Parker works 10 hours lifeguarding and 6 hours tutoring last week.

*** I used x as lifeguarding and y as the tutoring hours.

I hope this helps!