The ratio of the girls to the boys in a kindergarten was 5 : 3. After 17 girls went home and 25 new boys came, there were 8 more girls than boys in the end. Find the number of students in the kindergarten in the end.
| |
Girls
(1) |
Boys
(2) |
(3) |
| Before |
5 u |
3 u |
3 u |
| Change |
- 17 |
+ 25 |
+ 25 + 8 = + 33 |
| After |
5 u |
3 u + 25 |
3 u + 33 |
Comparing girls and
boys in the end |
8 more |
|
|
Since the number of girls is 8 more than the number of boys in the end, when we
add 8 to (2) to form (3), the number of girls and boys in the end will be the same.
(1) = (3)
5 u - 17 = 3 u + 33
5 u - 3 u = 33 + 17
2 u = 50
1 u = 50 ÷ 2 = 25
Number of students in the end
= 5 u + 3 u - 17 + 25
= 8 u + 8
= 8 x 25 + 8
= 200 + 8
= 208
Answer(s): 208
