What is the temperature in Celsius?

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gmatpup: Senior | Next Rank: 100 Posts; Posts: 88; Joined: Sat Oct 15, 2011 6:38 pmFollowed by: 1 member; Thanked: 1 times

by gmatpup » Sat Dec 10, 2011 4:51 pm

Please help me with this question!

The formula F=9/5C+32 gives the relationship between the temperature in Fahrenheit and Celsius. If the temperature is 85 F, what is the temperature to the closest degree in Celsius?

A. 18 degrees C
B. 23 degrees C
C. 29 degrees C
D. 47 degrees C
E. 51 degrees C

The answer is C

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Source: Beat The GMAT — Problem Solving | Sat Dec 10, 2011 4:51 pm

GmatMathPro: GMAT Instructor; Posts: 349; Joined: Wed Sep 28, 2011 3:38 pmFollowed by: 54 members; Location: Austin, TX; Thanked: 236 times; GMAT Score:770

by GmatMathPro » Sat Dec 10, 2011 5:12 pm

gmatpup wrote:Please help me with this question!

The formula F=9/5C+32 gives the relationship between the temperature in Fahrenheit and Celsius. If the temperature is 85 F, what is the temperature to the closest degree in Celsius?

A. 18 degrees C
B. 23 degrees C
C. 29 degrees C
D. 47 degrees C
E. 51 degrees C

The answer is C

85=(9/5)C+32

53=(9/5)C

C=53(5/9)

53 is not divisible by 9, but 54 is. 54/9=6, 6*5=30. Since we rounded up the true answer must be slightly lower.

Pete Ackley
GMAT Math Pro
Free Online Tutoring Trial

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Dec 11, 2011 4:06 am

gmatpup wrote:The formula F=9/5C+32 gives the relationship between the temperature in Fahrenheit and Celsius. If the temperature is 85 F, what is the temperature to the closest degree in Celsius?

It is given that F = (9/5)*C + 32
And the question is if F = 85, what is C?

--> 85 = (9/5)*C + 32
--> 53 = (9/5)*C
--> C = 53*(5/9)

53*(5/9) is slightly less than 54*(5/9) = 30

Hence, C must be approximately equal to 29.

The correct answer is C.

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Gurome, Inc.
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