William's school organized a trip to Oman. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 4. On the day of registration, 10 girls decided to withdraw and 10 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 less girls than boys would visit Oman in the end?
|
Boys |
Girls |
Total |
Before |
7x4 = 28 u |
4x4 = 16 u |
11x4 = 44 u |
Change |
+ 5 u |
- 5 u |
|
After |
3x11 = 33 u |
1x11 = 11 u |
4x11 = 44 u |
25% =
25100 =
14Since 10 girls withdrew and another 10 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 11 and 4 is 44.
Number of girls who decided to withdraw
= 16 u - 11 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of less girls than boys in the end
= 33 u - 11 u
= 22 u
= 22 x 2
= 44
Answer(s): 44