The ratio of the girls to the boys in a kindergarten was 5 : 3. After 26 girls went home and 30 new boys came, there were 6 more girls than boys in the end. Find the number of children in the kindergarten in the end.
| |
Girls
(1) |
Boys
(2) |
(3) |
| Before |
5 u |
3 u |
3 u |
| Change |
- 26 |
+ 30 |
+ 30 + 6 = + 36 |
| After |
5 u |
3 u + 30 |
3 u + 36 |
Comparing girls and
boys in the end |
6 more |
|
|
Since the number of girls is 6 more than the number of boys in the end, when we
add 6 to (2) to form (3), the number of girls and boys in the end will be the same.
(1) = (3)
5 u - 26 = 3 u + 36
5 u - 3 u = 36 + 26
2 u = 62
1 u = 62 ÷ 2 = 31
Number of children in the end
= 5 u + 3 u - 26 + 30
= 8 u + 4
= 8 x 31 + 4
= 248 + 4
= 252
Answer(s): 252
