Lee School had 555 students and Michael School had 40% more students. When an equal number of students left each school, the ratio of the students in Michael School to that in Lee School became 2 : 1. How many students were there in both schools in the end?
|
Lee School |
Michael School |
Difference |
Before |
555 |
|
222 |
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 Lee School and Michael School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 555
=
40100 x 555
= 222
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 222
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 222
= 666
Answer(s): 666