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Manager  Joined: 02 Dec 2012
Posts: 173
If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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5 00:00

Difficulty:   15% (low)

Question Stats: 79% (01:20) correct 21% (01:35) wrong based on 1204 sessions

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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
Math Expert V
Joined: 02 Sep 2009
Posts: 59721
If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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4
2
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 $$290=\frac{5}{9} * (K - 32)$$;

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

$$522=K-32$$;

$$K=554$$.

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##### General Discussion
Intern  Joined: 02 Aug 2013
Posts: 15
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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2
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
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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3
$$290 = \frac{5}{9} * (k-32)$$

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

k = 58*9 + 32

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

Intern  Joined: 11 Mar 2013
Posts: 6
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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Can someone please explain the algebra that the previous poster used. How did they jump from the 1st equation to the 2nd?
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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.
Intern  Joined: 11 Mar 2013
Posts: 6
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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Ah they multiplied by the reciprocal, I misunderstood that.

Thanks
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Joined: 28 Jun 2015
Posts: 279
Concentration: Finance
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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).
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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...
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Intern  Joined: 11 Mar 2013
Posts: 6
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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Very good point. What's your strategy upon seeing a question such as that and deciding which tactic to use?
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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Honestly, it is something that you should be looking at most of the time. This is a thinking exam, not at math exam.
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Intern  Joined: 11 Mar 2013
Posts: 6
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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1
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

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Manager  B
Joined: 30 Apr 2013
Posts: 75
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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
Math Expert V
Joined: 02 Sep 2009
Posts: 59721
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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.
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Intern  B
Joined: 12 Aug 2016
Posts: 7
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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!
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Posts: 1228
Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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

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 SVP  V
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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)
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Re: If T = 5/9 * (K - 32), and if T = 290, then K =  [#permalink]

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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

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

IMO D Re: If T = 5/9 * (K - 32), and if T = 290, then K =   [#permalink] 13 Sep 2019, 23:40
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