¹₂ of the children in a school were girls and the rest were boys. ²₃ of the girls and ¹₄ of the boys took part in a school event. 242 children took part. How many more boys were needed to take part in the school event so that it would be equal to the same number of girls who took part in the event?

Girls		Boys
1x12 = 12 u		1x12 = 12 u
Took part	Did not take part	Took part	Did not take part
2x4	1x4	1x3	3x3
8 u	4 u	3 u	9 u

Since ¹₂ of the children in a school were girls and the rest were boys, the total number of girls and boys is the same.
The total number of girls is repeated and the total number of boys is repeated.

Make the total number of girls and the total number of boys the same since they are equal. LCM of 3 and 4 is 12.

Number of children who took part
= 8 u + 3 u
= 11 u

11 u = 242

1 u = 242 ÷ 11 = 22

Number of more boys that were needed to take part in the school event so that it would be equal to the same number of girls who took part in the event
= 8 u - 3 u
= 5 u
= 5 x 22
= 110

Answer(s): 110