Isaiah's school organized a trip to India. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 114 girls decided to withdraw and 114 more boys decided to join in. In the end, the number of girls who participated became 10% of the total children for the trip. How many more boys than girls would visit India in the end?
|
Boys |
Girls |
Total |
Before |
7x5 = 35 u |
5x5 = 25 u |
12x5 = 60 u |
Change |
+ 19 u |
- 19 u |
|
After |
9x6 = 54 u |
1x6 = 6 u |
10x6 = 60 u |
10% =
10100 =
110Since 114 girls withdrew and another 114 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 12 and 10 is 60.
Number of girls who decided to withdraw
= 25 u - 6 u
= 19 u
19 u = 114
1 u = 114 ÷ 19 = 6
Number of more boys than girls in the end
= 54 u - 6 u
= 48 u
= 48 x 6
= 288
Answer(s): 288