The ratio of the boys to the girls in a kindergarten was 5 : 2. After 22 boys went home and 26 new girls came, there were 6 more boys than girls in the end. Find the number of students in the kindergarten in the end.
| |
Boys
(1) |
Girls
(2) |
(3) |
| Before |
5 u |
2 u |
2 u |
| Change |
- 22 |
+ 26 |
+ 26 + 6 = + 32 |
| After |
5 u |
2 u + 26 |
2 u + 32 |
Comparing boys and
girls in the end |
6 more |
|
|
Since the number of boys is 6 more than the number of girls in the end, when we
add 6 to (2) to form (3), the number of boys and girls in the end will be the same.
(1) = (3)
5 u - 22 = 2 u + 32
5 u - 2 u = 32 + 22
3 u = 54
1 u = 54 ÷ 3 = 18
Number of students in the end
= 5 u + 2 u - 22 + 26
= 7 u + 4
= 7 x 18 + 4
= 126 + 4
= 130
Answer(s): 130
