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?

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Mathematics

25 January, 22:44

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?

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Brett Haas · Answer 1

S + L = 30 ... S = 30 - L

8.75S + 14L = 283.50

8.75 (30 - L) + 14L = 283.50

262.50 - 8.75L + 14L = 283.50

-8.75L + 14L = 283.50 - 262.50

5.25L = 21

L = 21 / 5.25

L = 4 ... he worked 4 hrs landscaping <===

S + L = 30

S + 4 = 30

S = 30 - 4

S = 26 ... he worked 26 hrs as a security guard <==