Roland2rule wrote:Sam, Mark and Joe work every day of the week, and each works the same number of hours as he did the day before. In 7 days, they earn $252 in total. If each receives the same rate per person per hour, and Mark worked twice as many hours as Sam and Joe worked three times as many hours as Mark, how much money does Mark earn in 5 days?
A. $24
B. $30
C. $36
D. $40
E. $50
Alternate approach:
Mark worked twice as many hours as Sam.
Joe worked three times as many hours as Mark.
Let S = 1 hour.
Since Mark works twice as many hours as Sam, M = 2*1 = 2 hours.
Since Joe works 3 times as many hours as Mark, J = 3*2 = 6 hours.
Total work-hours = 1+2+6 = 9.
Of the 9 total work-hours, Mark works 2.
Thus, Mark earns 2/9 of the total pay:
(2/9)(252) = 56.
How much money does Mark earn in 5 days?
Since there are 7 total work-days, in 5 work-days Mark earns 5/7 of his pay:
(5/7)(56) = 40.
The correct answer is
D.
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