¹₂ of the students in a school were girls and the rest were boys. ³₅ of the girls and ¹₄ of the boys took part in a school event. 299 students did not take 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
1x20 = 20 u		1x20 = 20 u
Took part	Did not take part	Took part	Did not take part
3x4	2x4	1x5	3x5
12 u	8 u	5 u	15 u

Since ¹₂ of the students 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 5 and 4 is 20.

Number of students who did not take part
= 8 u + 15 u
= 23 u

23 u = 299

1 u = 299 ÷ 23 = 13

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
= 12 u - 5 u
= 7 u
= 7 x 13
= 91

Answer(s): 91