GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Dec 2018, 08:22

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. Sam’s car was fined when he gave Joe and Peter a ride, so they decided  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 51218 Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 12 Mar 2015, 05:46 1 3 00:00 Difficulty: 45% (medium) Question Stats: 72% (02:39) correct 28% (02:58) wrong based on 149 sessions HideShow timer Statistics Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid$3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving pay$4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?

A. $13 B.$15
C. $20 D.$28
E. $48 Kudos for a correct solution. _________________ Intern Joined: 26 Mar 2010 Posts: 10 Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 12 Mar 2015, 10:59 1 Joe=1/4f+3 Peter= 1/3f-3 Sam=1/2f-4 We can find F=48 Thus Sam paid 24-4=20 Answer C Manager Status: Kitchener Joined: 03 Oct 2013 Posts: 89 Location: Canada Concentration: Finance, Finance GPA: 2.9 WE: Education (Education) Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 12 Mar 2015, 13:31 the answer is C let say the total fine=T so Joe paid 3+T/4 Peter paid T/3-3 sam paied T/2-4 T=(3+T/4)+(T/3-3)+(T/2-4) T=48 sam paied=20 _________________ Click +1 Kudos if my post helped Senior Manager Joined: 28 Feb 2014 Posts: 294 Location: United States Concentration: Strategy, General Management Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 12 Mar 2015, 15:17 1 Bunuel wrote: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid$3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving pay$4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?

A. $13 B.$15
C. $20 D.$28
E. $48 Kudos for a correct solution. (1/4)x + 3 + (1/3)x - 3 + (1/2)x -4 = x x=48 1/2(48) - 4 = 20 Answer: C SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1825 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 12 Mar 2015, 20:04 1 Answer = C.$20

Sam .......... Joe ................. Peter .................. Total

$$\frac{x}{2} - 4$$ ......... $$\frac{x}{4} + 3$$ ........... $$\frac{x}{3} - 3$$ ............ x (Say total fine = x)

Setting up the equation with above variables

$$\frac{x}{2} + \frac{x}{4} + \frac{x}{3} - x = 4$$

x = 48

Sam's contribution = 24-4 = 20
_________________

Kindly press "+1 Kudos" to appreciate

Math Expert
Joined: 02 Sep 2009
Posts: 51218
Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided  [#permalink]

Show Tags

15 Mar 2015, 20:38
1
Bunuel wrote:
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $3 more than 1/4 of the fine and Peter paid$3 less than 1/3 of the fine, leaving pay $4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? A.$13
B. $15 C.$20
D. $28 E.$48

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:

Call the fine F. Joe paid (1/4)F + 3 and Peter paid (1/3)F – 3, leaving (1/2)F – 4 left. If we add those three up, they should add up to F.
F = [(1/4)F + 3] + [(1/3)F – 3] + [(1/2)F – 4]
F = (1/4)F + (1/3)F + (1/2)F – 4

Multiply all terms by 12 to clear the fractions.
12F = 3F + 4F + 6F – 48
12F = 13 F – 48
–F = – 48
F = 48

Well, if the fine cost $48, then Sam paid the part not covered by Joe or Peter. Half the fine is$24, and Sam paid $4 less than this:$20.

_________________
Intern
Joined: 30 Sep 2013
Posts: 20
Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided  [#permalink]

Show Tags

24 Jul 2015, 10:38
Bunuel wrote:
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $3 more than 1/4 of the fine and Peter paid$3 less than 1/3 of the fine, leaving pay $4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? A.$13
B. $15 C.$20
D. $28 E.$48

Kudos for a correct solution.

I did the same way as most of the people have done. I have also solved in the following way, a little bit reverse thing, please let me know if I am doing wrong here.

As given sam' payment is [1][/2]*Fine -4
i.e Total Fine = 2 * (Sam's payment + 4)

Now, as everything looks integer, Fine should be able to divide by 4 and 3 . Because Joe's contribution has 1/4 of the fine and Peter's contribution has 1/3 of the fine

So, that leads me to following :

Options , Sam's pay , Total Fine (F) , F/4 , F/3

A) , 13 , 34 , No i.e 34/4 , No i.e 34/3

B) , 14 , 38 , No , No

C) , 20 , 48 , Yes Yes
,
No need to further go on as we have got F/4 and F/3 correct, just for confirmation we go further

D) , 28 , 64 , Yes , No

E) , 48 , 104 , Yes , No

So we can see the Option C has the correct values
Director
Joined: 04 Dec 2015
Posts: 730
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: Sam's car was fined for parking when he gave Joe and Peter a ride  [#permalink]

Show Tags

06 Jun 2017, 22:32
mkrishnabdrr wrote:
Sam's car was fined for parking when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $3 more than 1/4 of the fine and Peter paid$3 less than 1/3 of the fine, leaving Sam $4 less than 1/2 the fine to complete the payment. How much did Sam pay? A. 48 B. 24 C. 20 D. 15 E. 50 Let the fine be $$x$$ Joe paid = $$\frac{1}{4}x$$ + 3 Peter paid = $$\frac{1}{3}x$$ - 3 Sam has to pay = $$\frac{1}{2}x$$ - 4 From the question; $$x = \frac{1}{4}x + 3 + \frac{1}{3}x - 3 + \frac{1}{2}x - 4$$ $$x = \frac{1}{4}x + \frac{1}{3}x + \frac{1}{2}x - 4$$ $$x = \frac{3x + 4x + 6x}{12} - 4$$ = $$\frac{13x}{12} - 4$$ $$\frac{13x}{12} - x = 4$$ $$\frac{13x - 12x}{12}$$ = $$\frac{x}{12} = 4$$ $$x = 12 * 4 = 48$$ . Answer A... _________________ Kindly press "+1 Kudos" to appreciate Manager Joined: 13 Aug 2015 Posts: 208 GMAT 1: 710 Q49 V38 GPA: 3.82 WE: Corporate Finance (Retail Banking) Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 07 Jun 2017, 06:16 sashiim20 wrote: mkrishnabdrr wrote: Sam's car was fined for parking when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid$3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving Sam$4 less than 1/2 the fine to complete the payment. How much did Sam pay?
A. 48
B. 24
C. 20
D. 15
E. 50

Let the fine be $$x$$
Joe paid = $$\frac{1}{4}x$$ + 3

Peter paid = $$\frac{1}{3}x$$ - 3

Sam has to pay = $$\frac{1}{2}x$$ - 4

From the question;
$$x = \frac{1}{4}x + 3 + \frac{1}{3}x - 3 + \frac{1}{2}x - 4$$

$$x = \frac{1}{4}x + \frac{1}{3}x + \frac{1}{2}x - 4$$

$$x = \frac{3x + 4x + 6x}{12} - 4$$ = $$\frac{13x}{12} - 4$$

$$\frac{13x}{12} - x = 4$$

$$\frac{13x - 12x}{12}$$ = $$\frac{x}{12} = 4$$

$$x = 12 * 4 = 48$$ . Answer A...

Question stem asks for how much did sam pay:
So,
Sam has to pay = $$\frac{1}{2}x$$ - 4
=1/2 x 48 -4
=24-4
=20
Hence, Ans is C. You found out the fine.

_________________
Kindly press "+1 Kudos" to appreciate
_________________

If you like my posts, please give kudos. Help me unlock gmatclub tests.

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided  [#permalink]

Show Tags

10 Jun 2017, 06:33
Bunuel wrote:
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $3 more than 1/4 of the fine and Peter paid$3 less than 1/3 of the fine, leaving pay $4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? A.$13
B. $15 C.$20
D. $28 E.$48

We can let t = the total amount of the fine.

Joe’s payment = 3 + (1/4)t

Peter’s payment = (1/3)t - 3

Sam’s payment = (1/2)t - 4

We can create the following equation to determine t:

3 + (1/4)t + (1/3)t - 3 + (1/2)t - 4 = t

(1/4)t + (1/3)t + (1/2)t - 4 = t

Multiplying by 12, we have:

3t + 4t + 6t - 48 = 12t

48 = t

Thus, Sam paid (1/2)(48) - 4 = 24 - 4 = $20. Answer: C _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions VP Joined: 07 Dec 2014 Posts: 1128 Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 10 Jun 2017, 14:52 [quote="Bunuel"]Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid$3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving pay$4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?

A. $13 B.$15
C. $20 D.$28
E. $48/quote] let f=amount of fine 13/12*f-4=f f=$48
Sam's share=f/2-4=$20 C Manager Joined: 19 Aug 2016 Posts: 150 Location: India GMAT 1: 640 Q47 V31 GPA: 3.82 Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided [#permalink] Show Tags 23 Sep 2017, 02:45 Bunuel wrote: Bunuel wrote: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid$3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving pay$4 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?

A. $13 B.$15
C. $20 D.$28
E. $48 Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION: Call the fine F. Joe paid (1/4)F + 3 and Peter paid (1/3)F – 3, leaving (1/2)F – 4 left. If we add those three up, they should add up to F. F = [(1/4)F + 3] + [(1/3)F – 3] + [(1/2)F – 4] F = (1/4)F + (1/3)F + (1/2)F – 4 Multiply all terms by 12 to clear the fractions. 12F = 3F + 4F + 6F – 48 12F = 13 F – 48 –F = – 48 F = 48 Well, if the fine cost$48, then Sam paid the part not covered by Joe or Peter. Half the fine is $24, and Sam paid$4 less than this: \$20.

Hi,

I don't understand. Doesn't the question say what 'fraction' of the fine did sam say? Here, we're stating his share of the fine.
_________________

Consider giving me Kudos if you find my posts useful, challenging and helpful!

Re: Sam’s car was fined when he gave Joe and Peter a ride, so they decided &nbs [#permalink] 23 Sep 2017, 02:45
Display posts from previous: Sort by

Sam’s car was fined when he gave Joe and Peter a ride, so they decided

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.