Henry School had 740 students and Simon School had 30% more students. When an equal number of students left each school, the ratio of the students in Simon School to that in Henry School became 3 : 2. How many students were there in both schools in the end?
|
Henry School |
Simon School |
Difference |
Before |
740 |
|
222 |
Change |
- ? |
- ? |
|
After |
3 u |
2 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 Simon School at first and in the end the same.
Difference between the number of students in both schools at first
= 30% x 740
=
30100 x 740
= 222
Difference between the number of students in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 222
Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 222
= 1110
Answer(s): 1110