Aria's school organized a trip to Fiji. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 7 : 5. 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 25% of the total children for the trip. How many children would visit Fiji in the end?
|
Girls |
Boys |
Total |
Before |
7x1 = 7 u |
5x1 = 5 u |
12x1 = 12 u |
Change |
+ 2 u |
- 2 u |
|
After |
3x3 = 9 u |
1x3 = 3 u |
4x3 = 12 u |
25% =
25100 =
14Since 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 12 and 4 is 12.
Number of boys who decided to withdraw
= 5 u - 3 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of children that would visit Fiji in the end
= 9 u + 3 u
= 12 u
= 12 x 7
= 84
Answer(s): 84