Mia's school organized a trip to Zambia. At first, the ratio of the number of girls to the number of boys who planned to participate in the trip was 7 : 5. On the day of registration, 76 boys decided to withdraw and 76 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 more girls than boys would visit Zambia in the end?
|
Girls |
Boys |
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 76 boys withdrew and another 76 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 12 and 10 is 60.
Number of boys who decided to withdraw
= 25 u - 6 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
Number of more girls than boys in the end
= 54 u - 6 u
= 48 u
= 48 x 4
= 192
Answer(s): 192