There was an equal number of boys and girls at the gymnasium. After
49 of the boys and 51 girls left the gymnasium, there were 23 more boys than girls at the gymnasium. How many students were there at the gymnasium at first?
| |
Boys |
Girls |
| Before |
9 u |
9 u |
| Change |
- 4 u |
- 51 |
| After |
5 u |
9 u - 51 |
Number of boys in the end
= 9 u - 4 u
= 5 u
If another 23 girls entered the gymnasium, the number of boys and girls would be the same.
9 u - 51 + 23 = 5 u
9 u - 28 = 5 u
9 u - 5 u = 28
4 u = 28
1 u = 28 ÷ 4 = 7
Number of students in the gymnasium at first
= 18 u
= 18 x 7
= 126
Answer(s): 126
