Kaylee's school organized a trip to Iran. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 8 : 7. On the day of registration, 110 boys decided to withdraw and 110 more girls decided to join in. In the end, the number of boys who participated became 10% of the total children for the trip. How many less boys than girls would visit Iran in the end?
|
Girls |
Boys |
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 110 boys withdrew and another 110 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 15 and 10 is 30.
Number of boys who decided to withdraw
= 14 u - 3 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Number of less boys than girls in the end
= 27 u - 3 u
= 24 u
= 24 x 10
= 240
Answer(s): 240