Chloe's school organized a trip to Brazil. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 8 : 5. On the day of registration, 70 boys decided to withdraw and 70 more girls decided to join in. In the end, the number of boys who participated became 25% of the total children for the trip. How many less boys than girls would visit Brazil in the end?
|
Girls |
Boys |
Total |
Before |
8x4 = 32 u |
5x4 = 20 u |
13x4 = 52 u |
Change |
+ 7 u |
- 7 u |
|
After |
3x13 = 39 u |
1x13 = 13 u |
4x13 = 52 u |
25% =
25100 =
14Since 70 boys withdrew and another 70 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 13 and 4 is 52.
Number of boys who decided to withdraw
= 20 u - 13 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of less boys than girls in the end
= 39 u - 13 u
= 26 u
= 26 x 10
= 260
Answer(s): 260