A) 154
B) 162
C) 168
D) 180
E) 112
Correct Answer: E
Solution :
[e] Average weight of male students = 65.9 kg. |
Average weight of female students = 57.0 kg. |
Average weight of total students = 60.3 kg. |
Let the total number of total students be x. |
Then, \[\frac{65.9\times 66+(x-66)\times 57}{x}=60.3\] |
\[\Rightarrow \] \[65.9\times 66+57x-57\times 66=60.3x\] |
\[\Rightarrow \] \[(65.9-57)\times 66=3.3x\] |
\[\Rightarrow \] \[8.9\times 66=3.3x\] |
\[\Rightarrow \] \[178=x\] |
\[\therefore \] Number of female students \[=178-66=112\] |
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