SOLUTION: I am trying to work this word problem and cannot figure out where to start. Thanks for your assistance. John works two part-time jobs for a total of 25 hours per week. Job A pay

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Question 628130: I am trying to work this word problem and cannot figure out where to start. Thanks for your assistance.
John works two part-time jobs for a total of 25 hours per week. Job A pays $7.50 per hour and Job B pays $8.40 per hour. How many hours did he work at each job if he made $200.10 this week?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John works two part-time jobs for a total of 25 hours per week.
Job A pays $7.50 per hour and Job B pays $8.40 per hour.
How many hours did he work at each job if he made $200.10 this week?
:
Let a = no. of hrs worked at job A
Let b = no. of hrs worked at job B
:
Write an equation for each statement;
:
"John works two part-time jobs for a total of 25 hours per week."
a + b = 25
a = (25-b); we can use this form for substitution
;
"Job A pays $7.50 per hour and Job B pays $8.40 per hour.he made $200.10"
7.50a + 8.40b = 200.10
replace a with (25-b)
7.50(25-b) + 8.40b = 200.10
187.50 - 7.50b + 8.40b = 200.10
-7.50b + 8.40b = 200.10 - 187.50
.90b = 12.60
b = 12.60/.9
b = 14 hrs on job B
:
I'll let you find job A, ensure the $ add up 200.10