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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. 30.00 kg
B. 35.00 kg
C. 37.25 kg
D. 42.50 kg
E. 43.50 kg
A. 30.00 kg
B. 35.00 kg
C. 37.25 kg
D. 42.50 kg
E. 43.50 kg
10 Dec 2020, 11:15
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Given: There are two sections A and B of a class, consisting of 36 and 44 students’ respectively.
Asked: If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.
Total weight = 36*40 + 44*35 = 1440 + 1540 = 2980 kg
Total students = 36 + 44 = 80
Average weight = 2980 /80 = 37.25 kg
IMO C
Asked: If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.
Total weight = 36*40 + 44*35 = 1440 + 1540 = 2980 kg
Total students = 36 + 44 = 80
Average weight = 2980 /80 = 37.25 kg
IMO C
13 Dec 2020, 23:22
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I first reduced the ratio of A:B from 36:44 to 9:11
This is a weighted average problem.
(9/20)(40) + (11/20)(35) = Average
18 + 19.25 = 37.25
Answer C
This is a weighted average problem.
(9/20)(40) + (11/20)(35) = Average
18 + 19.25 = 37.25
Answer C
