In a school, 0.75 of the boys and 0.3 of the girls take part in curricular activities. There is an equal number of girls and boys who do not take part in curricular activities. If 182 children do not take part in curricular activities, how many more children take part in curricular activities than those who do not take part in curricular activities?

Boys		Girls
Take part	Do not take part	Take part	Do not take part
3x7	1x7	3	7
	1x7		1x7
21 u	7 u	3 u	7 u

0.75 = ³₄
Boys that take part : Boys that do not take part = 3 : 1

0.3 = ³₁₀
Girls that take part : Girls that do not take part = 3 : 7

The number of girls who do not take part is repeated.  Make the number of girls who do not take part the same.  LCM of 1 and 7 is 7.

Number of children who do not take part in curricular activities
= 7 u + 7 u
= 14 u

14 u = 182

1 u = 182 ÷ 14 = 13

Number of children who take part in curricular activities
= 21 u + 3 u
= 24 u

Number of more children who take part in curricular activities than those who do not take part in curricular activities
= 24 u - 14 u
= 10 u
= 10 x 13
= 130

Answer(s): 130