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# Brian spent 1/4 of his paycheck to repair his car, and then paid the

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Math Expert
Joined: 02 Sep 2009
Posts: 50613
Brian spent 1/4 of his paycheck to repair his car, and then paid the  [#permalink]

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01 Nov 2018, 00:17
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:07) correct 47% (02:00) wrong based on 17 sessions

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Brian spent 1/4 of his paycheck to repair his car, and then paid the registration and insurance, which each cost 1/4 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 _________________ Senior Manager Joined: 18 Jul 2018 Posts: 374 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the [#permalink] ### Show Tags 01 Nov 2018, 01:56 Total amount = X. Money spent on repair = X/4 Remaining = 3X/4 Money left after registration and Insurance = 3X/4-28 = 231 Solving X gives 345$$\frac{1}{3}$$ Bunuel. Are the options correct? _________________ When you want something, the whole universe conspires in helping you achieve it. Manager Joined: 09 Jun 2018 Posts: 122 Location: United States GPA: 3.95 WE: Manufacturing and Production (Energy and Utilities) Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the [#permalink] ### Show Tags 01 Nov 2018, 05:08 1 1 Bunuel: Is 14 supposed to be 1/4 by any chance? If that is the case, 1-1/4 - 1/4 - 1/4 = 1/4 is left. Let x be the paycheck x/4 = 231 x = 924 Option C maybe! _________________ If you found this relevant and useful, please Smash that Kudos button! Math Expert Joined: 02 Sep 2009 Posts: 50613 Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the [#permalink] ### Show Tags 01 Nov 2018, 06:16 nkin wrote: Bunuel: Is 14 supposed to be 1/4 by any chance? If that is the case, 1-1/4 - 1/4 - 1/4 = 1/4 is left. Let x be the paycheck x/4 = 231 x = 924 Option C maybe! ____________ Edited. Thank you. _________________ Manager Joined: 17 Mar 2018 Posts: 52 Brian spent 1/4 of his paycheck to repair his car, and then paid the [#permalink] ### Show Tags Updated on: 02 Nov 2018, 21:22 1 Im not sure- my answer doesnt match the given options at all. I think the issue may be in my interpretation of the registration and insurance. Eg. paycheck= 100. Repair= 25, remander= 75. Is registration and insurance each 1/4 of 100 or 75? According to the question, it is the remainder, ie, 75. ------------------------------------------- Let x be the total amount in the paycheck. Repair= x/4 Registration and Insurance cost 1/4 of the remainder amount each= 3x/4 *1/4*2= 3x/8 x/4+3x/8+231=x 231= x-(x/4+3x/8)=(8x-5x)/8 231 (8)= 3x x= 77*8= 616. I did the recheck by plugging the answer. Repair cost= 154 Insurance and Registration each= 115.5 615-154-115.5-115.5=231 Bunuel could you please advise. Originally posted by taniad on 01 Nov 2018, 06:34. Last edited by taniad on 02 Nov 2018, 21:22, edited 2 times in total. Manager Joined: 18 Aug 2017 Posts: 211 Concentration: Healthcare, Marketing Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the [#permalink] ### Show Tags 02 Nov 2018, 02:44 Brian spent 1/4 of his paycheck to repair his car, and then paid the registration and insurance, which each cost 1/4 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

Let total paycheck be x
total expense = 3x/4

Amount left= x-3x/4=231
=> 231*4=924 option C
Intern
Joined: 15 Oct 2018
Posts: 9
Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the  [#permalink]

### Show Tags

02 Nov 2018, 15:07
Bunuel wrote:
Brian spent 1/4 of his paycheck to repair his car, and then paid the registration and insurance, which each cost 1/4 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

Why the cost of the registration and insurance is not each 1/4 of the remainder pay check (3x/4)?

X= Total pay check

(1/4)*x + 2 * (1/4) * (3x/4) + 231 = x ??? x = 616

I think I am not understanding the English here....
Re: Brian spent 1/4 of his paycheck to repair his car, and then paid the &nbs [#permalink] 02 Nov 2018, 15:07
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# Brian spent 1/4 of his paycheck to repair his car, and then paid the

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