Question

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 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 <==