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What is the temperature in Celsius?

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What is the temperature in Celsius?

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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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.
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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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