Dylan's school organized a trip to Kenya. 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, 20 boys decided to withdraw and 20 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 Kenya 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 20 boys withdrew and another 20 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 = 20
1 u = 20 ÷ 2 = 10
Number of children that would visit Kenya in the end
= 9 u + 3 u
= 12 u
= 12 x 10
= 120
Answer(s): 120