Solve the problem.
-Richard works for a company that pays $28 per hour for the first forty hours and $42 per hour for each hour in the week worked above the 40 hours. If he earned $1834 this week, how many overtime hours did he work?
A)16 hours
B)25.5 hours
C)17 hours
D)57 hours

Question

Quizplus · Accepted Answer

Let's assume that Richard worked x number of overtime hours. 
His regular pay for the first 40 hours would be: 40 hours x $28/hour = $1120 
Therefore, his overtime pay would be: (Total pay - Regular pay) = Overtime pay 
$1834 - $1120 = $714 
To determine the number of overtime hours worked, divide the overtime pay by the overtime rate: 
$714 ÷ $42/hour = 17 hours 
Therefore, Richard worked 17 overtime hours. Let's say Richard worked x number of overtime hours.
Then, his total pay for the week would be:
$28 * 40 + $42 * x = $1834
Simplifying the equation, we get:
$1120 + $42 * x = $1834
$42 * x = $714
x = 17
Therefore, Richard worked 17 overtime hours.

Solve the Problem. -Richard Works for a Company That Pays $28 Per Hour