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The maximum temperatures, in degrees Fahrenheit, recorded in a city on

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Senior Manager
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on [#permalink]

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New post 27 Oct 2017, 09:11
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (01:47) correct 9% (00:00) wrong based on 23 sessions

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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

A. 85
B. 86
C. 87
D. 88
E. 89
[Reveal] Spoiler: OA

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Re: The maximum temperatures, in degrees Fahrenheit, recorded in a city on [#permalink]

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New post 27 Oct 2017, 09:28
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(x + 3 + 95+ 87+ x + 7 + x) /5 =90

( 3x + 192) /5 =90
3x = 450-192
3x = 258
x = 86 - - - - > B

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Senior Manager
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Re: The maximum temperatures, in degrees Fahrenheit, recorded in a city on [#permalink]

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New post 27 Oct 2017, 09:39
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The average of the temperatures was 90 degrees

Hence,
(x + 3 + 95+ 87+ x + 7 + x) /5 =90
=>( 3x + 192) /5 =90
=>3x = 258 => x = 86.

Ans: B.

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Re: The maximum temperatures, in degrees Fahrenheit, recorded in a city on [#permalink]

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New post 27 Oct 2017, 10:25
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M = Sum(Day1:DayN) / N

90 = (x +3) + (95) + (87) + (x+7) + x / 5

3 x = 450 - 182
x = 86

Kudos [?]: 1 [1], given: 5

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Re: The maximum temperatures, in degrees Fahrenheit, recorded in a city on [#permalink]

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New post 30 Oct 2017, 14:01
Kritesh wrote:
The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

A. 85
B. 86
C. 87
D. 88
E. 89


We can determine x with the following equation:

(x + 3 + 95 + 87 + x + 7 + x)/5 = 90

3x + 192 = 450

3x = 258

x = 86

Answer: B
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Kudos [?]: 902 [0], given: 5

Re: The maximum temperatures, in degrees Fahrenheit, recorded in a city on   [#permalink] 30 Oct 2017, 14:01
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