SOLUTION: How do I set up the following word problem into a mathematical equation: an employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hours over 35. o

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Question 739679: How do I set up the following word problem into a mathematical equation: an employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hours over 35. one weeks paycheck (before deductions) was for $308.00. how many hours did the employee work?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if an employee earns $7.00 an hour for the first 35 hours worked in a week, then he earned 35%2A7.00=245.00
245.00- that is a constant
and if get $10.50 for any hours x over 35 one weeks paycheck (before deductions)
$10.50x- that is a overtime
if one weeks paycheck was $308.00, then
y=10.50x%2B245.00
308.00=10.50x%2B245.00
308.00-245.00=10.50x
63.00=10.50x
63.00%2F10.50=x
6=x...the employee work overtime
so, 35%2B6=41 hours that the employee work