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There are two sections A and B of a class, consisting of 36 and 44 stu

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There are two sections A and B of a class, consisting of 36 and 44 stu  [#permalink]

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20 Feb 2019, 23:56
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25% (medium)

Question Stats:

75% (01:54) correct 25% (02:07) wrong based on 40 sessions

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There are two sections A and B of a class, consisting of 36 and 44 students' respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

A. 36.5
B. 37
C. 37.25
D. 37.66
E. 37.75

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Joined: 13 Oct 2018
Posts: 85
Location: India
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WE: Information Technology (Computer Software)
Re: There are two sections A and B of a class, consisting of 36 and 44 stu  [#permalink]

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21 Feb 2019, 01:51
Answer is given by the following equation.

(36*40+35*44)/(44+36)

= 37.25

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Re: There are two sections A and B of a class, consisting of 36 and 44 stu  [#permalink]

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21 Feb 2019, 09:35
Bunuel wrote:
There are two sections A and B of a class, consisting of 36 and 44 students' respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

A. 36.5
B. 37
C. 37.25
D. 37.66
E. 37.75

use weighted avg
w1/w2= ( a2-a)/(a-a1)

36/44 = ( 35-a) / ( a-40)

a = 37.25
IMO C
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Re: There are two sections A and B of a class, consisting of 36 and 44 stu  [#permalink]

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24 Feb 2019, 05:56
Bunuel wrote:
There are two sections A and B of a class, consisting of 36 and 44 students' respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

A. 36.5
B. 37
C. 37.25
D. 37.66
E. 37.75

We can create the average weight of the entire class as follows:

(40 x 36 + 35 x 44)/80

(40 x 36)/80 + (35 x 44)/80

36/2 + (35 x 11)/20

18 + (7 x 11)/4

18 + 77/4 = 18 + 19.25 = 37.25

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Re: There are two sections A and B of a class, consisting of 36 and 44 stu   [#permalink] 24 Feb 2019, 05:56
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