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Jack and Joe are specialty repair contractors who work on a daily rat

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Jack and Joe are specialty repair contractors who work on a daily rat [#permalink] New post   06 Aug 2022, 00:47
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Jack and Joe are specialty repair contractors who work on a daily rate. Jack can earn $800 in 4 working days, while Joe takes 36 working days to earn $7200.


Quantity A
Quantity B
The total amount of money Jack and Joe earn if Joe works for 108 working days and Jack works for 72 working days
The total amount of money Joe and Jack earn if Jack works for 108 working days and Joe works for 72 working days



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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C
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Re: Jack and Joe are specialty repair contractors who work on a daily rat [#permalink] New post   08 Aug 2022, 05:00
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Re: Jack and Joe are specialty repair contractors who work on a daily rat [#permalink] New post   09 Aug 2022, 21:20
Why is the answer C and not A ? 108*200+20*72>108*20+200*72
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Re: Jack and Joe are specialty repair contractors who work on a daily rat [#permalink] New post   10 Aug 2022, 00:15
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Explanation: Don’t get confused with the Jacks and Joes everywhere, and don’t start right in calculating. Looking at the information given, you should realize that Jack and Joe actually earn the same rate of $200 a day. So it actually doesn’t matter who works the 108 days, and who the 72, it will all add up to the same.
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Re: Jack and Joe are specialty repair contractors who work on a daily rat [#permalink] New post   10 Aug 2022, 06:09
Carcass wrote:
Jack and Joe are specialty repair contractors who work on a daily rate. Jack can earn $800 in 4 working days, while Joe takes 36 working days to earn $7200.


Quantity A
Quantity B
The total amount of money Jack and Joe earn if Joe works for 108 working days and Jack works for 72 working days
The total amount of money Joe and Jack earn if Jack works for 108 working days and Joe works for 72 working days



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


Given: Jack can earn $800 in 4 working days
Rate = total earnings/time = $800/4 days = $200/day
So, Jack earns $200 per day

Given: Joe takes 36 working days to earn $7200
Rate = total earnings/time = $7200/36 days = $200/day
So, Joe earns $200 per day

Quantity A: The total amount of money Jack and Joe earn if Joe works for 108 working days and Jack works for 72 working days = 108($200) + 72($200) = 180($200)

Quantity B: The total amount of money Joe and Jack earn if Jack works for 108 working days and Joe works for 72 working days = 108($200) + 72($200) = 180($200)

Answer: C
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