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John works two jobs. As a security guard, he earns $8.75 per hour. As a landscaper, he earns $14.00 per hour. One week, John worked a total of 30 hours and earned $283.50. How many hours did he work at each job?

Answer :

Final answer:

Explanation of how to find the number of hours John worked at each job given his total hours and earnings.

Explanation:

The given problem: John worked a total of 30 hours and earned $283.50. He earns $8.75 per hour as a security guard and $14.00 per hour as a landscaper. We need to find out how many hours he worked at each job.

Step-by-step solution:

  1. Let x be the hours worked as a security guard and y be the hours worked as a landscaper.
  2. Set up the equations: x + y = 30 and 8.75x + 14y = 283.50.
  3. Solve the system of equations to find x and y.

Answer: John worked 15 hours as a security guard and 15 hours as a landscaper.

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