There was an equal number of girls and boys at the tuck shop. After
29 of the girls and 54 boys left the tuck shop, there were 20 more girls than boys at the tuck shop. How many students were there at the tuck shop at first?
|
Girls |
Boys |
Before |
9 u |
9 u |
Change |
- 2 u |
- 54 |
After |
7 u |
9 u - 54 |
Number of girls in the end
= 9 u - 2 u
= 7 u
If another 20 boys entered the tuck shop, the number of girls and boys would be the same.
9 u - 54 + 20 = 7 u
9 u - 34 = 7 u
9 u - 7 u = 34
2 u = 34
1 u = 34 ÷ 2 = 17
Number of students in the tuck shop at first
= 18 u
= 18 x 17
= 306
Answer(s): 306