NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 12:52 It is currently 26 Apr 2024, 12:52
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If T = 5/9 * (K - 32), and if T = 290, then K =

SORT BY:
Date
Kudos
 1   2   
Tags:
Difficulty: 505-555 Levelx   Algebrax                        
Find Similar Topics 
Show Tags
Hide Tags
User avatar
Walkabout
Manager
Manager
Joined: 02 Dec 2012
Posts: 172
Own Kudos [?]: 23860 [24]
Given Kudos: 23
Send PM
If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   07 Dec 2012, 06:48
5
Kudos
18
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:18) correct 19% (01:32) wrong based on 2429 sessions
Hide Show timer Statistics
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619227 [7]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   07 Dec 2012, 06:50
5
Kudos
2
Bookmarks
Expert Reply
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


Given that \(290=\frac{5}{9} * (K - 32)\);

\(290*\frac{9}{5}=K - 32\);

\(522=K-32\);

\(K=554\).

Answer: D.
General Discussion
User avatar
legitpro
Intern
Intern
Joined: 02 Aug 2013
Posts: 14
Own Kudos [?]: 26 [3]
Given Kudos: 1
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   06 Aug 2013, 23:55
3
Kudos
290=\frac{5}{9}(K-32)
58*9=k-31
i rounded 9 to 10 so
580-58+31=k
then i choose d, no point in doing calculations to waste time
avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1562
Own Kudos [?]: 7208 [4]
Given Kudos: 193
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   03 Sep 2014, 02:30
3
Kudos
1
Bookmarks
\(290 = \frac{5}{9} * (k-32)\)

\(k = 290*\frac{9}{5} + 32\)

k = 58*9 + 32

Answer would be ending with 4; only option D = 554 fits in

Answer = D
avatar
jackrim1
Intern
Intern
Joined: 11 Mar 2013
Posts: 6
Own Kudos [?]: [0]
Given Kudos: 1
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 04:06
Can someone please explain the algebra that the previous poster used. How did they jump from the 1st equation to the 2nd?
User avatar
G
ENGRTOMBA2018
SVP
SVP
Joined: 20 Mar 2014
Posts: 2362
Own Kudos [?]: 3626 [0]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Send PM
GMAT ToolKit User Reviews Badge
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 04:14
jackrim1 wrote:
Can someone please explain the algebra that the previous poster used. How did they jump from the 1st equation to the 2nd?


Sure, look below:

Given: T = 5/9 * (K - 32) ----> Multiply both sides by 9/5, we get ----> 9/5T = (5/9 * 9/5) * (K-32)

----> 9/5 * T = 1 * (K-32) ----> (9/5 )T = K -32 (as x*1 = x) ----> Now add 32 to both sides (to transfer 32 from K-32 towards T), we get ----> (9/5)T + 32 = K

Now susbtitute T = 290 in the last equation, we get

(9/5) * 290 + 32 = K ----> K = 9 *58 + 32 = 522 + 32 = 544.
avatar
jackrim1
Intern
Intern
Joined: 11 Mar 2013
Posts: 6
Own Kudos [?]: [0]
Given Kudos: 1
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 05:28
Ah they multiplied by the reciprocal, I misunderstood that.

Thanks
User avatar
B
TimeTraveller
Senior Manager
Senior Manager
Joined: 28 Jun 2015
Posts: 250
Own Kudos [?]: 294 [0]
Given Kudos: 47
Concentration: Finance
GPA: 3.5
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 06:59
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


\(290 * 9 = 5 * (K - 32)\)
\(K = \frac{(290*9) + 32}{5}\)
\(K = 554.\) Ans (D).
User avatar
JimGMATAnswers
Manager
Manager
Joined: 16 Jan 2013
Status:Helping People Ace the GMAT
Affiliations: GMAT Answers
Posts: 179
Own Kudos [?]: 85 [1]
Given Kudos: 4
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE:Consulting (Consulting)
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 10:18
1
Bookmarks
Just want to remind everyone to use estimation for problems such as this one. You will multiply 290 by something slightly less than 2 and then add 32. We know it is a whole number and greater than 500, only D is that...
avatar
jackrim1
Intern
Intern
Joined: 11 Mar 2013
Posts: 6
Own Kudos [?]: [0]
Given Kudos: 1
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 10:48
Very good point. What's your strategy upon seeing a question such as that and deciding which tactic to use?
User avatar
JimGMATAnswers
Manager
Manager
Joined: 16 Jan 2013
Status:Helping People Ace the GMAT
Affiliations: GMAT Answers
Posts: 179
Own Kudos [?]: 85 [1]
Given Kudos: 4
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE:Consulting (Consulting)
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 10:52
1
Bookmarks
Honestly, it is something that you should be looking at most of the time. This is a thinking exam, not at math exam.
avatar
jackrim1
Intern
Intern
Joined: 11 Mar 2013
Posts: 6
Own Kudos [?]: [0]
Given Kudos: 1
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   14 Jul 2015, 11:46
True, but if you do attempt to answer a question without doing math then there's a higher risk of getting muddled or making careless errors. There's obviously a balancing act and it'd be preferable to have some sort of guidelines to apply in choosing how to tackle a problem
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6277 [1]
Given Kudos: 1646
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   09 Jun 2016, 14:05
1
Kudos
Expert Reply
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


We start by substituting 290 for T and we obtain:

290 = 5/9(K – 32)

To eliminate the fraction, we multiply the entire equation by 9 and we have:

290 x 9 = 5(K – 32)

We next divide both sides by 5 and then solve for K:

58 x 9 = K – 32

522 = K – 32

554 = K

The answer is D.
avatar
B
santro789
Manager
Manager
Joined: 30 Apr 2013
Posts: 61
Own Kudos [?]: 10 [0]
Given Kudos: 9
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   27 Aug 2017, 03:49
i tried to do this way and got the answer wrong.please tell me where did I go wrong.


290 * 9 = 5k - 160
k = 2610/5
k = 522
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619227 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   27 Aug 2017, 04:06
Expert Reply
santro789 wrote:
i tried to do this way and got the answer wrong.please tell me where did I go wrong.


290 * 9 = 5k - 160
k = 2610/5
k = 522



290*9 + 160 = 2770, not 2610.
User avatar
B
BalysLTU
Intern
Intern
Joined: 12 Aug 2016
Posts: 5
Own Kudos [?]: 3 [0]
Given Kudos: 51
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   09 Oct 2017, 14:04
JimGMATAnswers wrote:
Just want to remind everyone to use estimation for problems such as this one. You will multiply 290 by something slightly less than 2 and then add 32. We know it is a whole number and greater than 500, only D is that...


Just to jump in here - how do we exactly know that what we're working with is a whole number?

Thanks!
User avatar
L
dave13
VP
VP
Joined: 09 Mar 2016
Posts: 1160
Own Kudos [?]: 1017 [0]
Given Kudos: 3851
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   28 Feb 2018, 09:37
Bunuel wrote:
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


Given that \(290=\frac{5}{9} * (K - 32)\) --> \(290*\frac{9}{5}=K - 32\) --> \(522=K-32\) --> \(K=554\).

Answer: D.


hi Bunuel,

i used arithmetic method to solve it, but it took long time.

can you explain based on which rule you you divided both parts by 5/9 ?

i revied all kinds of agebra articles but still encounter such simple gaps :)
User avatar
L
AkshdeepS
VP
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1479
Own Kudos [?]: 1603 [0]
Given Kudos: 1002
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Send PM
Reviews Badge
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   18 Mar 2018, 07:03
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


T = 5/9 * (K - 32)

T = 290

means 290 = 5/9 * (K - 32)

(290 * 9) / 5 = K - 32

K = 522 + 32

K = 554

Hence (D)
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3968 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   13 Sep 2019, 23:40
Walkabout wrote:
If T = 5/9 * (K - 32), and if T = 290, then K =

(A) 1,738/9
(B) 322
(C) 490
(D) 554
(E) 2,898/5


Given:
1. T = 5/9 * (K - 32)
2. T = 290

Asked: K = ?

290 = 5/9 * (K-32)
K - 32 = 290 * 9/5 = 58*9 = 522
K = 32 + 522 = 554

IMO D
User avatar
B
KingAdam44
Intern
Intern
Joined: 21 Aug 2018
Posts: 29
Own Kudos [?]: 49 [0]
Given Kudos: 80
Location: Tunisia
Schools: Erasmus (S)
GMAT 1: 470 Q32 V23
GMAT 2: 550 Q32 V32
GPA: 3
WE:Analyst (Entertainment and Sports)
Send PM
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink] New post   05 Jan 2020, 07:13
That type of question is perfect to practice on time-cutting strategies, the most powerful one being estimation.

We can see that 5/9 is awfully close to 5/10=0.5, and that we aim to multiply it by (k-32) in order to get T=290.

Hence, imagine this: 0.5*x=290, which will make things easier! Just make 290*2=580.

Check for the closest answer to 580, which is 554. Answer D, 30 seconds top! :)
GMAT Club Bot
gmatclubot
Re: If T = 5/9 * (K - 32), and if T = 290, then K = [#permalink]
05 Jan 2020, 07:13
 1   2   
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions