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The average temperature of Monday, Tuesday, Wednesday and Thursday was

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The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 21 Feb 2019, 00:40
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The average temperature of Monday, Tuesday, Wednesday and Thursday was 38 degree. and that of Tuesday, Wednesday, Thursday and Friday was 40 degree. If the temperature on Monday was 30 degree, the temperature of Friday was :

A. 40 degree
B. 39 degree
C. 38 degree
D. 30 degree
E. 29 degree

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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 21 Feb 2019, 03:57
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Bunuel wrote:
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38 degree. and that of Tuesday, Wednesday, Thursday and Friday was 40 degree. If the temperature on Monday was 30 degree, the temperature of Friday was :

A. 40 degree
B. 39 degree
C. 38 degree
D. 30 degree
E. 29 degree


Let, Monday temp = a
Tuesday temp = b
Wednesday temp = c
Thursday temp = d
Friday Temp = e

a+b+c+d = 38*4
b+c+d+e = 40*4

i.e. e - a = 40*4 - 38*4 = 8

given, a = 30

e = 8+30 = 38

Answer: Option C
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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 21 Feb 2019, 08:42
Bunuel wrote:
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38 degree. and that of Tuesday, Wednesday, Thursday and Friday was 40 degree. If the temperature on Monday was 30 degree, the temperature of Friday was :

A. 40 degree
B. 39 degree
C. 38 degree
D. 30 degree
E. 29 degree


Monday + Tuesday + Wednesday + Thursday = 152
Tuesday + Wednesday + Thursday + Friday = 160

Given, the temperature on Monday was 30 degree

So, 40 + (Tuesday + Wednesday + Thursday) = 152

Or, Tuesday + Wednesday + Thursday = 112

Now, we know ( Tuesday + Wednesday + Thursday ) + Friday = 160

Or, 112 + Friday = 160

Or, Friday = 38, Answer must be (C)
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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 21 Feb 2019, 09:12
M+ T+ W + T = 152
T+ W+ T+ F= 160
subtracting 1 from 2
M-F= -8
F=M+8=38

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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 21 Feb 2019, 09:36
Bunuel wrote:
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38 degree. and that of Tuesday, Wednesday, Thursday and Friday was 40 degree. If the temperature on Monday was 30 degree, the temperature of Friday was :

A. 40 degree
B. 39 degree
C. 38 degree
D. 30 degree
E. 29 degree


given
m+t+w+th= 38*4 ; 152

and t+w+th+f= 40*4 ; 160
so
m= 30
then t+w+th = 152-30; 122
so f ; 160-122; 38
IMO C
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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was  [#permalink]

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New post 24 Feb 2019, 06:43
Bunuel wrote:
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38 degree. and that of Tuesday, Wednesday, Thursday and Friday was 40 degree. If the temperature on Monday was 30 degree, the temperature of Friday was :

A. 40 degree
B. 39 degree
C. 38 degree
D. 30 degree
E. 29 degree


Since M + T + W + Th = 38 x 4 = 152 and T + W + Th + F = 40 x 4 = 160, we see that:

T + W + Th + F - (M + T + W + Th) = F - M

160 - 152 = F - 30

8 = F - 30

38 = F


Alternate Solution:

We have

M + T + W + Th = 38 x 4 = 152.

Since M = 30, then 30 + T + W + Th = 152; thus:

T + W + Th = 122.

Now, in the equation T + W + Th + F = 160, let’s substitute 122 for T + W + Th. Then,

122 + F = 160,

which implies that F = 160 - 122 = 38.

Answer: C
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Re: The average temperature of Monday, Tuesday, Wednesday and Thursday was   [#permalink] 24 Feb 2019, 06:43
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