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Temperatures in degrees Celsius (C) can be converted to temp

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Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 05 Feb 2014, 02:25
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A
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E

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Temperatures in degrees Celsius (C) can be converted to temperatures in degrees Fahrenheit (F) by the formula \(F = \frac{9}{5}*C + 32\). What is the temperature at which F = C?

(A) 20°
(B) (32/5)°
(C) 0°
(D) -20°
(E) -40°

Problem Solving
Question: 77
Category: Algebra First-degree equations
Page: 71
Difficulty: 600


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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 07 Feb 2014, 05:05
2
6
SOLUTION

Temperatures in degrees Celsius (C) can be converted to temperatures in degrees Fahrenheit (F) by the formula F = 9/5*C + 32. What is the temperature at which F = C?

(A) 20°
(B) (32/5)°
(C) 0°
(D) -20°
(E) -40°

Substitute F for C and solve:

F = 9/5*F + 32

F = -40°.

Answer: E.

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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 07 Feb 2014, 10:33
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By quickly testing out answers, -40 is the only one that equalizes both, (E).

9/5(-40) + 32 = -40, C= -40, when F= -40.
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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 07 Feb 2014, 13:00
2
E. -40

F = 9/5*C + 32
Set both sides equal to each other.
x=(9x/5) + 32
Solve for X
4x/5 = -32
x= -40
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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 04 Feb 2017, 08:54
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Bunuel wrote:
Temperatures in degrees Celsius (C) can be converted to temperatures in degrees Fahrenheit (F) by the formula F = 9/5*C + 32. What is the temperature at which F = C?

(A) 20°
(B) (32/5)°
(C) 0°
(D) -20°
(E) -40°


\(F = \frac{9}{5}*C + 32\)

Substitute F = C

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

\(5C = 9C + 160\)

Or, \(-4C = 160\)

So, \(C = -40\)

Hence, answer will be (E) -40°
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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 21 Aug 2017, 02:12
1
Hello Moderators,

I dont know if this was just me, but I read the stem as \(F = \frac{9}{5*C}+ 32\) and lost some time solving this.

What it actually means is \(F = \frac{9}{5}*C + 32\).

Since this is a OG question, do you think this should be made math friendly to be sure someone does not misread it?

Thanks in advance!

Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Temperatures in degrees Celsius (C) can be converted to temperatures in degrees Fahrenheit (F) by the formula F = 9/5*C + 32. What is the temperature at which F = C?

(A) 20°
(B) (32/5)°
(C) 0°
(D) -20°
(E) -40°

Problem Solving
Question: 77
Category: Algebra First-degree equations
Page: 71
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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New post 21 Aug 2017, 02:23
1
susheelh wrote:
Hello Moderators,

I dont know if this was just me, but I read the stem as \(F = \frac{9}{5*C}+ 32\) and lost some time solving this.

What it actually means is \(F = \frac{9}{5}*C + 32\).

Since this is a OG question, do you think this should be made math friendly to be sure someone does not misread it?

Thanks in advance!


Mathematically 9/5*C can only mean \(\frac{9}{5}*C\). If it were \(\frac{9}{5*C}\) it would have been written as 9/(5*C). Still edited.
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Re: Temperatures in degrees Celsius (C) can be converted to temp  [#permalink]

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Re: Temperatures in degrees Celsius (C) can be converted to temp   [#permalink] 15 Sep 2018, 09:07
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