Question
The number of students in class 'A' is 144, and the ratio
of the number of girls to boys in class 'A' is 5:7. If the average number of boys in classes 'A' and 'B' is 174, and the average number of girls in classes 'A' and 'B' is 126, find the total number of students in class 'B'.Solution
Number of girls in class A = (5/12) × 144 = 60
Number of boys in class A = (7/12) × 144 = 84
Number of boys in class B = 174 × 2 - 84 = 348 - 84 = 264
Number of girls in class B = 126 × 2 - 60 = 252 - 60 = 192
Total number of students in class B = 264 + 192 = 456
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