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Lincoln is working two summer jobs, making $13 per hour lifeguarding and $23 per hour tutoring. Last week Lincoln earned a total of $210 and worked 4 times as many hours tutoring as he worked hours lifeguarding. Determine the number of hours Lincoln worked lifeguarding last week and the number of hours he worked tutoring last week. Lincoln worked hours lifeguarding and hours tutoring.

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Answer: Lincoln worked 2 hours lifeguarding and 8 hours tutoring.

Step-by-step explanation:

Let x represent the number of hours that Lincoln worked lifeguarding last week.

Let y represent the number of hours that Lincoln worked tutoring last week.

Lincoln is working two summer jobs, making $13 per hour lifeguarding and $23 per hour tutoring. Last week Lincoln earned a total of $210. This means that

13x + 23y = 210 - - - - - -- - - - -- - -1

He worked 4 times as many hours tutoring as he worked hours lifeguarding. This means that

y = 4x

Substituting x = 4y into equation 1, it becomes

13x + 23(4x) = 210

13x + 92x = 210

105x = 210

x = 210/105 = 2

y = 4y = 4 × 2

y = 8

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