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