Bunuel
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
We can let x = the hourly rate for each person, s = the number of hours Sam works per day, m = the number of hours Mark works per day, and j = the number of hours Joe works per day.
We are given that m = 2s and j = 3m = 3(2s) = 6s. Thus, in terms of s and x, we can create the following equation:
7sx + 7(2s)x + 7(6s)x = 252
7sx + 14sx + 42sx = 252
63sx = 252
sx = 4
We are asked for the amount of money earned by Mark in 5 days. In 5 days, Mark earns:
5(2s)x = 10sx = 10(4) = 40 dollars
Answer: D