Mike works a total of 56hr per week at his two jobs. He makes $7 per hour at job A and $8 per hour at job B. If his total pay for one week is $410 before taxes, then how many hours does he work at each job?

Mike's total pay is the result of dividing a fixed amount of time between two jobs. The total hours and the total pay give us two relations that let us solve for the time at each job.

Let x represent the number of hours Mike works at Job B. Then 56-x is the number of hours he works at Job A. His total pay for both jobs is ...

8x +7(56 -x) = 410

x +392 = 410 . . . . . . simplify

x = 18 . . . . . . . . . subtract 392

56 -x = 38 . . . find Job A hours

Mike works 38 hours at Job A, and 18 hours at Job B.

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For more about "mixture" type problems like this, see ...

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Mike works a total of 56hr per week at his two jobs. He makes ​$7 per hour at job A and ​$8 per hour at job B. If his total pay for one week is ​$410 before​ taxes, then how many hours does he work at each​ job?

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Mike works a total of 56hr per week at his two jobs. He makes $7 per hour at job A and $8 per hour at job B. If his total pay for one week is $410 before taxes, then how many hours does he work at each job?