nalinnair wrote:
In a certain factory, hours worked by each employee in excess of 40 hours per week are overtime hours and are paid for at \(1\frac{1}{2}\) times the employee’s regular hourly pay rate. If an employee worked a total of 42 hours last week, how much was the employee’s gross pay for the hours worked last week?
(1) The employee’s gross pay for overtime hours worked last week was $30.
(2) The employee’s gross pay for all hours worked last week was $30 more than for the previous week
Solution:We need to determine the employee’s gross pay for the hours worked last week. If we let x be the regular hourly rate, then 1.5x will be the overtime hourly rate. Since the employee worked 42 hours last week, his or her gross pay for last week, in term of x, will be:
40x + 2(1.5x) = 40x + 3x = 43x
Therefore, if we can determine the value of x, we can determine the employee’s gross pay last week. Also, notice that 40x is his or her gross pay for the regular 40 hours and 3x is the employee’s gross pay for the overtime of 2 hours.
Statement One Alone:
We can create the equation:
3x = 30
x = 10
Therefore, the employee’s gross pay last week was 43(10) = $430. Statement one alone is sufficient.
Statement Two Alone:This does not allow us to determine the employee’s gross pay last week since we don’t know the number of hours he or she worked the week before last week. Statement two alone is not sufficient.
Answer: A _________________
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