nafiul9090 wrote:Last month Grace worked, and was paid for, a total of x hours. Some of the hours were on day shift and the remainder were on the night shift. Her hourly pay is 20% higher for the night shift than for the day shift. How many hours did Grace work on the day shift last month?
1) X=55
2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month.
To determine the ratios implied by the problem, PLUG IN.
Let the day shift rate = $5 per hour.
Since the night shift rate is 20% higher, the night shift rate = 5 + .2(5) = $6 per hour.
Statement 1: x = 55.
No way to determine the number of hours worked on the day shift.
Statement 2: Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month.
Let the total pay for each shift = the LCM of 5 and 6 = $30.
Since $30 is earned during the day shift at a rate of $5 per hour, the number of day shift hours = 30/5 = 6 hours.
Since $30 is earned during the night shift at a rate of $6 per hour, the number of night shift hours = 30/6 = 5 hours.
Thus, of every 11 hours worked, the fraction worked during the day = 6/11.
No way to determine the exact number of day shift hours.
Statements 1 and 2 combined:
Number of day shift hours = (6/11)55 = 30.
SUFFICIENT.
The correct answer is
C.
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