In a class there are 33 students comprising of boys and girls. In a monthly test, the average score of the class was 14. The average score of girls and boys of the class was 15 and 12 respectively. Assuming that all the students had taken the test, what is the number of girls in the class?
Solution (By Examveda Team)
Total students = 33
Average score of the class = 14.
Total score = 33 * 14 = 462
Let there are x girls in the class.
Boys = 33 - x
Now,
x * 15 + 12 * (33 -x) = 462
15x + 396 - 12x = 462
3x = 66
x = 22
Number of girls = 22.
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no. of girls --- x
no. of boys ---- 33-x
15*x + (33-x)*12 = 33*14
by solving
x= 22;
therefore no. of boys: 11