Dylan's school organized a trip to Russia. 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, 102 boys decided to withdraw and 102 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 Russia in the end?
|
Girls |
Boys |
Total |
Before |
10x4 = 40 u |
9x4 = 36 u |
19x4 = 76 u |
Change |
+ 17 u |
- 17 u |
|
After |
3x19 = 57 u |
1x19 = 19 u |
4x19 = 76 u |
25% =
25100 =
14Since 102 boys withdrew and another 102 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 4 is 76.
Number of boys who decided to withdraw
= 36 u - 19 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of children that would visit Russia in the end
= 57 u + 19 u
= 76 u
= 76 x 6
= 456
Answer(s): 456