Jenson School had 716 pupils and Eric School had 25% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Eric School to that in Jenson School became 5 : 4. How many pupils were there in both schools in the end?
|
Jenson School |
Eric School |
Difference |
Before |
716 |
|
179 |
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 Jenson School and Eric School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 716
=
25100 x 716
= 179
Difference between the number of pupils in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 179
Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 179
= 1611
Answer(s): 1611