Christian's school organized a trip to Pakistan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 10 : 9. On the day of registration, 85 girls decided to withdraw and 85 more boys decided to join in. In the end, the number of girls who participated became 25% of the total children for the trip. How many more boys than girls would visit Pakistan in the end?
|
Boys |
Girls |
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 85 girls withdrew and another 85 boys 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 girls who decided to withdraw
= 36 u - 19 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Number of more boys than girls in the end
= 57 u - 19 u
= 38 u
= 38 x 5
= 190
Answer(s): 190