Henry School had 384 students and Carl School had 25% more students. When an equal number of students left each school, the ratio of the students in Carl School to that in Henry School became 2 : 1. How many students were there in both schools in the end?
|
Henry School |
Carl School |
Difference |
Before |
384 |
|
96 |
Change |
- ? |
- ? |
|
After |
2 u |
1 u |
1 u |
Since an equal number of students left each school, the difference in the number of students at first and in the end between the 2 schools remains the same. Make the difference between the number of students in Henry School and Carl School at first and in the end the same.
Difference between the number of students in both schools at first
= 25% x 384
=
25100 x 384
= 96
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 96
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 96
= 288
Answer(s): 288