Jonathan's school organized a trip to Egypt. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 10 : 9. On the day of registration, 14 boys decided to withdraw and 14 more girls decided to join in. In the end, the number of boys who participated became 40% of the total children for the trip. How many more girls than boys would visit Egypt in the end?

	Girls	Boys	Total
Before	10x5 = 50 u	9x5 = 45 u	19x5 = 95 u
Change	+ 7 u	- 7 u
After	3x19 = 57 u	2x19 = 38 u	5x19 = 95 u

40% = ⁴⁰₁₀₀ = ²₅

Since 14 boys withdrew and another 14 girls joined, the total number of children  at first and in the end remains unchanged. Make the total number of children the same. LCM of 19 and 5 is 95.

Number of boys who decided to withdraw
= 45 u - 38 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of more girls than boys in the end
= 57 u - 38 u
= 19 u
= 19 x 2
= 38

Answer(s): 38