Xavier School had 665 pupils and Ian School had 40% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Ian School to that in Xavier School became 5 : 4. How many pupils were there in both schools in the end?
|
Xavier School |
Ian School |
Difference |
Before |
665 |
|
266 |
Change |
+ ? |
+ ? |
|
After |
5 u |
4 u |
1 u |
Since an equal number of pupils joined each school, the difference in the number of pupils at first and in the end between the 2 schools remains the same. Make the difference between the number of pupils in Xavier School and Ian School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 40% x 665
=
40100 x 665
= 266
Difference between the number of pupils in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 266
Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 266
= 2394
Answer(s): 2394