There was an equal number of boys and girls at the tuck shop. After
25 of the boys and 52 girls left the tuck shop, there were 22 more boys than girls at the tuck shop. How many students were there at the tuck shop at first?
| |
Boys |
Girls |
| Before |
5 u |
5 u |
| Change |
- 2 u |
- 52 |
| After |
3 u |
5 u - 52 |
Number of boys in the end
= 5 u - 2 u
= 3 u
If another 22 girls entered the tuck shop, the number of boys and girls would be the same.
5 u - 52 + 22 = 3 u
5 u - 30 = 3 u
5 u - 3 u = 30
2 u = 30
1 u = 30 ÷ 2 = 15
Number of students in the tuck shop at first
= 10 u
= 10 x 15
= 150
Answer(s): 150
