Ryan's school organized a trip to England. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 8 : 7. On the day of registration, 99 girls decided to withdraw and 99 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 less girls than boys would visit England in the end?
|
Boys |
Girls |
Total |
Before |
8x2 = 16 u |
7x2 = 14 u |
15x2 = 30 u |
Change |
+ 11 u |
- 11 u |
|
After |
9x3 = 27 u |
1x3 = 3 u |
10x3 = 30 u |
10% =
10100 =
110Since 99 girls withdrew and another 99 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 15 and 10 is 30.
Number of girls who decided to withdraw
= 14 u - 3 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Number of less girls than boys in the end
= 27 u - 3 u
= 24 u
= 24 x 9
= 216
Answer(s): 216