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Brian spent of his paycheck to repair his car, and then paid
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01 Feb 2020, 12:32
01 Feb 2020, 12:32
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Question Stats:
80% (01:39) correct
19% (02:13) wrong based on 26 sessions
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Brian spent \(\frac{1}{4}\) of his paycheck to repair his car, and then paid the registration and insurance, which each cost \(\frac{1}{3}\) of the remainder of his paycheck. If Brian had $0 before he was paid, and he now has $231 left, what was the amount of his paycheck?
A. $2772
B. $1622
C. $924
D. $870
E. $693
Kudos for the right answer and explanation
A. $2772
B. $1622
C. $924
D. $870
E. $693
Kudos for the right answer and explanation
Re: Brian spent of his paycheck to repair his car, and then paid
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03 Feb 2020, 08:31
03 Feb 2020, 08:31
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Brian spent 1/4 + 3/4 ( 1/3 +1/3) = 1/4 + 1/2 = 3/4 of his income --> he has 1/4 of his income = 231$ left --> 231= 1/4 * income = 924 = Income
--> Answer C is correct
--> Answer C is correct
Re: Brian spent of his paycheck to repair his car, and then paid
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28 Feb 2021, 03:20
28 Feb 2021, 03:20
1
Solution:
Paying attention to the second part of the question, if Brian spent \(\frac{1}{3}+\frac{1}{3 }\)of his income he is left with \(\frac{1}{3}\). And this \(\frac{1}{3}\)=231
Therefore, Brian was left with 231*3=693 $ after paying for paycheck to repair his car.
This 693=\(\frac{3}{4}\) or 75% of the total value.
Thus, 100% will be 924$
IMO C
Hope this helps!
Paying attention to the second part of the question, if Brian spent \(\frac{1}{3}+\frac{1}{3 }\)of his income he is left with \(\frac{1}{3}\). And this \(\frac{1}{3}\)=231
Therefore, Brian was left with 231*3=693 $ after paying for paycheck to repair his car.
This 693=\(\frac{3}{4}\) or 75% of the total value.
Thus, 100% will be 924$
IMO C
Hope this helps!
