Author 
Message 
Intern
Joined: 17 Mar 2008
Posts: 12

1
This post received KUDOS
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars? (A) 58 (B) 64 (C) 68 (D) 76 (E) 82 Source: GMAT Club Tests  hardest GMAT questions i didnt really like the answer explanation for number 37. can someone please elucidate?



SVP
Joined: 29 Aug 2007
Posts: 2473

1
This post received KUDOS
dakhan wrote: i didnt really like the answer explanation for number 37. can someone please elucidate? 1. $10 = 24F $5/12 = 1F .........................i 2. £12 = 36F £1/3 = 1F ................................ii 3. $5/12 = £1/3 ................................iii $1= £4/5 $95= (£4/5)(95) $95= £76 3rd step can be done alternatively: $5/12 = £1/3 ................................iii $1= £4/5 $1= £0.8 $95= £0.8 (95) $95= £8 (9.5) $95= £76 $95= £76 Does it helped you?
Attachments
m14Q37.jpg [ 36.54 KiB  Viewed 7428 times ]
_________________
Verbal: http://gmatclub.com/forum/newtotheverbalforumpleasereadthisfirst77546.html Math: http://gmatclub.com/forum/newtothemathforumpleasereadthisfirst77764.html Gmat: http://gmatclub.com/forum/everythingyouneedtoprepareforthegmatrevised77983.html
GT



Intern
Joined: 09 Jun 2010
Posts: 9

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 08:54
1
This post received KUDOS
Here is an easier way to do it. Let's start with the end of the problem. The question asks for the amount of pounds you get from $95.
Now, let's use that in the first part of the problem: Since $10 = 24 Franc, let's find how many Francs = $95
So for every $10, you get 24 Franc. For $20, you get 48 Franc (by multiplying 24 x 2). So for $95, multiply 24 x 9.5. This tells you that for $95, you get 24 x 9.5 = 228 Francs
Now let's move to the second part: It tells you 12 pound = 36 Franc. But since we know that we are now looking for 228 Franc (since that is equal to $95), we can set up an easy proportion:
(12 pound / 36 Franc) = (x pound / 228 Franc)
Reducing the first fraction to 1 / 3 helps, but this lets you find how many pounds you get for 228 Franc (which, as we found out, is equivalent to $95). This leads you to 76, Answer D



Intern
Joined: 29 Mar 2010
Posts: 43

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 09:57
1
This post received KUDOS
Hope this helps and makes it simple : 10$  24 Frncs = 5$  12 Frncs & 12 P  36 Frncs = 1 P  3 Frncs 95$ = 9 * 24 + 12 = 216 + 12 = 228/3 = 76 Fancs
_________________
 Ros. Nice Post + Some help + Lucid solution = Kudos
The greatest pleasure in life is doing what people say you cannot do  Great minds discuss ideas, average minds discuss events, small minds discuss people. 



Senior Manager
Status: Yeah well whatever.
Joined: 18 Sep 2009
Posts: 341
Location: United States
GMAT 1: 660 Q42 V39 GMAT 2: 730 Q48 V42
GPA: 3.49
WE: Analyst (Insurance)

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 10:15
1
This post received KUDOS
Bingo I got it. Thanks guys. You've gotta multiply both sides by the 95 once you solve for d which is really 1d and we want to get 95d. So I don't replace d with 95. Instead I solve for 95d.
_________________
He that is in me > he that is in the world.  source 1 John 4:4



Manager
Joined: 04 Dec 2009
Posts: 70
Location: INDIA

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 21:38
1
This post received KUDOS
10D=24F So, 5D=12F ............1 12P=36F So, P=3F ................2 FROM ONE TWO
19*5D=19*(4(3F)) putting 3F=P from 2 95D=76P



Director
Joined: 21 Dec 2009
Posts: 583
Concentration: Entrepreneurship, Finance

Re: m14#37 [#permalink]
Show Tags
19 Jun 2010, 05:19
1
This post received KUDOS
if 5D => 12F........(1) and 4P => 12F......(2) therefore, 5D= 4P and 95D = 19 x 4P = 76P
_________________
KUDOS me if you feel my contribution has helped you.



Senior Manager
Joined: 15 Sep 2009
Posts: 265

Re: m14#37 [#permalink]
Show Tags
25 Jun 2012, 05:39
1
This post received KUDOS
Dear Mr. Black Market Forex Dealer, A good way to solve this problem is to simply multiply the ratios at the same time. One can do this by setting up the fractions keeping in mind that want to start with dollar (D) and end with pound (P). We use "??" to represent a given quantity Therefore we have: (D)*(??/??)*(P/??) Now let's flesh out our equations to make terms cancel out to leave final answer in terms of "P". We have: (D)*(F/D)*(P/F) This cancels everything leaving "P" (our desired currency as the last man standing) (95D)*(24F/10D)*(12P/36F)= 76P Answer is D. Cheers, Der alte Fritz.
_________________
+1 Kudos me  I'm half Irish, half Prussian.
Last edited by OldFritz on 25 Jun 2012, 05:46, edited 1 time in total.



Math Expert
Joined: 02 Sep 2009
Posts: 39755

Re: m14#37 [#permalink]
Show Tags
25 Jun 2012, 05:44



Senior Manager
Status: Yeah well whatever.
Joined: 18 Sep 2009
Posts: 341
Location: United States
GMAT 1: 660 Q42 V39 GMAT 2: 730 Q48 V42
GPA: 3.49
WE: Analyst (Insurance)

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 07:31
GMAT Tiger, I’ve gotta be honest with you. I don’t get your logic and I tried three times to get one of these answers but I got none of them. Would you mind letting me know where my error is? Let d= dollars, f=francs, p=pounds 10d = 24f 10d/24 = f f= 5d/12 12p = 36f 12p = 36((5d)/12) 12p = 3*5d 12p = 15d P = 15d/12 P= 5d/4 So p=5*95/4 P= 475/4 which is about 118
_________________
He that is in me > he that is in the world.  source 1 John 4:4



Manager
Joined: 07 Oct 2006
Posts: 71
Location: India

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 08:12
Hi vannbj,
If you don't mind, I would like point from where your logic went wrong. You were right till, P= 5d/4. From here your logic went wrong.
Now this means,
1D= 4P/5
In order to calculate 95D, we have to multiply both sides, i.e. 95D=4*95P/5=4*19P/5 = 76P.
Please let me know whether my explanation makes sense to you. Thanks for your time.



Intern
Joined: 16 Jun 2010
Posts: 1

Re: m14#37 [#permalink]
Show Tags
17 Jun 2010, 09:47
tha basic idea is to convert $1 and 1GBP to the Franc equivalent since Franc is the common denominator. Once u do that the rest falls into place



Manager
Joined: 11 Jul 2009
Posts: 167
WE: Design (Computer Software)

Re: m14#37 [#permalink]
Show Tags
21 Jun 2011, 08:29
10D=24franks =>5D=12franks => 95D=12*19franks. 12 pounds=36franks => 1pound=3franks therefore 95D=(12*19)/3= 76 poundstherefore Answer:D
_________________
Kaustubh



Current Student
Joined: 26 May 2005
Posts: 563

Re: m14#37 [#permalink]
Show Tags
21 Jun 2011, 10:26
dakhan wrote: If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars? (A) 58 (B) 64 (C) 68 (D) 76 (E) 82 Source: GMAT Club Tests  hardest GMAT questions i didnt really like the answer explanation for number 37. can someone please elucidate? i think the eaiest way to do this is ratios Dollar =D Franc = F Pound = P D:F = 10:24 P:F = 12:36 D:F:P= multiply 1.5 to first equation 15:36 now its easy 15:36:12 now 95 dollars = ?pounds 95*12/15 = 76



Manager
Joined: 28 Feb 2011
Posts: 85

Re: m14#37 [#permalink]
Show Tags
21 Jun 2011, 19:10
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars? 12P = 36 F > 1P=3F 10D = 24F (or 8P) 95D= (8p x 9) + 4 (or 5D) Ans. 76
_________________
Fight till you succeed like a gladiator..or doom your life which can be invincible



Intern
Joined: 28 Jun 2012
Posts: 1

Re: m14#37 [#permalink]
Show Tags
28 Jun 2012, 10:20
Hey folks, just an FYI. I started my MBA this summer, but I still work these questions because I think it keeps me sharp. Anyway, a question almost identical to this came up on my International Business tests. Even if you don't get it on the GMAT, it's good to know.



Intern
Joined: 17 Jan 2012
Posts: 17

Re: m14#37 [#permalink]
Show Tags
25 Jun 2013, 17:07
Answer: D
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?
(A) 58 (B) 64 (C) 68 (D) 76 (E) 82
Most importantly this a ratio type of question were we need to a common base:
So 10 dollars > 24 francs And 12 pounds > 36 francs
If multiply the first equation by 3/2 both sides: 15 dollars > 36 francs
As you can see both 12 pounds and 15 dollars is equal to 36 francs, hence: 12 pounds > 15 dollars then: x pounds > 95 dollars
x = (12*95)/15 = 76 Tip: if you simplify the numerator and denominator you would get => 4 * 19 = 76 ; also there is only answer with unit digit 6, hence 4* 9 is sufficient enough.
This helps me be quicker in both problem solving and data sufficiency questions.



Intern
Joined: 16 May 2013
Posts: 1

Re: m14#37 [#permalink]
Show Tags
25 Jun 2013, 22:03
[quote="dakhan"]If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?
(A) 58 (B) 64 (C) 68 (D) 76 (E) 82
ANSWER: What is common in both data  Franc. Now Convert all into francs by taking LCM of 24 and 36 (francs) = 72. 10d = 24f (24x3times=72) Therefore, 10x3times=30d 12p = 36f (36x3times=72 or 72/36=2. therefore 12x2times=24p Now the equation can be seen as: 30d=72f and 24p=72f. Therefore 30d=24p We are asked how many p equivalent to 95d. since 24p=30d ? = 95d 24x95/30= 76
Ans=D



Current Student
Joined: 30 May 2013
Posts: 15

Re: m14#37 [#permalink]
Show Tags
26 Jun 2013, 15:43
I took a bit longer but solved this using ratios. Convert dollars to francs: 10/24 = 95/x. Simplified this to 1/2.4 = 95/x. Cross multiply to get x=95*2.4 or x = 228. So 95 dollars = 228 franc. Now convert francs to pounds: 12/36 = x/228. Simplified this to 1/3 = x/228. Cross multiply to get 3x = 228 or 76



Intern
Joined: 26 Oct 2013
Posts: 4

Re: m14#37 [#permalink]
Show Tags
17 Jun 2014, 03:25
Its pretty simple! we have Dollar:Francs = 10:24 or 5:12 and francs:pounds = 36:12 or 3:1 so, dollar:frans:pounds = 5:12:4 => 5 dollars  4 pounds so, 95 dollars  x pounds cross multiply, we get x = (95*4)/5 = 76










