Mike works a total of 57 hr 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 $421 before taxes, then how many hours does he work at each job?

Answer: He work at A for 35 hours

He work at B for 22 hours

Step-by-step explanation:

Let the number of hours be A and B

He works a total of 57 hr per week at his two jobs

A + B = 57 ... (1)

He makes $7 per hour at job A and $8 per hour at job B and the total pay for one week is $421

7A + 8B = 421 ... (2)

Solve equation 1 and 2 simultaneously

7A + 7B = 399

7A + 8B = 421

B = 22 hours

Substitute B in equation 1

A + 22 = 57

A = 35 hours