Let the number of boys registered in college A = x
Number of girls registered in college B = 30% of x = 0.3x
Number of girls registered in college C = 0.3x * 5 = 1.5x
Number of boys registered in college C = 468
Number of girls registered in college A = 468 - (0.3x + 1.5x)
=> 468 - 1.8x
Total number of boys registered = 316 * 3 = 948
Number of boys registered in college B = x + 160
According to data,
x + 0.3x + 1.5x + 468 + 468 - 1.8x + x +160 = 1416
2x = 1416 - 1096
x = 320/2 = 160
from the value of x, we can find the number of boys and girls
| A | B | C |
| Boys | 160 | 320 | 468 |
| Girls | 180 | 48 | 240 |
Number of boys registered in college C = 240
Number of girls registered in college C = 468
Sum = 240 + 468
=> 708
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