Christian's school organized a trip to Chile. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 8 : 7. On the day of registration, 22 boys decided to withdraw and 22 more girls decided to join in. In the end, the number of boys who participated became 10% of the total children for the trip. How many more girls than boys would visit Chile in the end?
|
Girls |
Boys |
Total |
Before |
8x2 = 16 u |
7x2 = 14 u |
15x2 = 30 u |
Change |
+ 11 u |
- 11 u |
|
After |
9x3 = 27 u |
1x3 = 3 u |
10x3 = 30 u |
10% =
10100 =
110Since 22 boys withdrew and another 22 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 15 and 10 is 30.
Number of boys who decided to withdraw
= 14 u - 3 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of more girls than boys in the end
= 27 u - 3 u
= 24 u
= 24 x 2
= 48
Answer(s): 48