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?

He spends 35 hours working at job A and 22 hours working at job B.

Let x represent the number of hours spent working in job A and y represent the number of hours spent working in job B.

Since he works a total of 57 hour per week, hence:

x + y = 57     (1)

Also  his total pay for one week is $421, therefore:

7x + 8y = 421  (2)

Solving equations 1 and 2 simultaneously gives:

x = 35, y = 22

He spends 35 hours working at job A and 22 hours working at job B.

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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

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step-by-step explanation:

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