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
OA is d
what mathematical approach can I apply here to get the correct answer to this question? Can anyone help me out here?
Thanks
Sam, Mark and Joe work every day of the week, and each works
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Say Sam earns $x per day, thus Mark earns 2*x = $2x and Joe earns 3*2x = $6x per day.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
OA is d
what mathematical approach can I apply here to get the correct answer to this question? Can anyone help me out here?
Thanks
Total earning in 7 days = 7*(x + 2x + 6x) = 63x
We are given that 63x = 252 => x = $4
Thus, Mark earns 2*4 = $8 per day or 5*8 = $40 in 5 days
The correct answer: D
Hope this helps!
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Alternate approach: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
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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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.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
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
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