SOLUTION: He worked 2 part time jobs and earned 189.00 for working a total of 24 hours at both jobs. Job A 6.00 per hour and job B 9.00 per hour. How many hours did he work at job .

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: He worked 2 part time jobs and earned 189.00 for working a total of 24 hours at both jobs. Job A 6.00 per hour and job B 9.00 per hour. How many hours did he work at job .      Log On


   

Question 1026213: He worked 2 part time jobs and earned 189.00 for working a total of 24 hours at both jobs. Job A 6.00 per hour and job B 9.00 per hour. How many hours did he work at job .
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Change the question to, "How many hours did he work at EACH job?"

A, the hours at job A
B, the hours at job B

Account for the earnings: 6A%2B9B=189

Account for the total hours: A%2BB=24


What to do now:
Simplify the earnings equation, and solve the simultaneous equations for A and B. Use the Elimination Method, IF you know it; otherwise just use substitution method.



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system%282A%2B3B=63%2CA%2BB=24%29

system%282A%2B3B=63%2C2A%2B2B=48%29

%282A%2B3B%29-%282A%2B2B%29=63-48
B=63-48
B=15-------hours at job B
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A=9-------hours at job A