At the concert hall, there were
17 as many girls as boys. After 98 girls came and 34 boys left the concert hall, there was an equal number of girls and boys who remained at the concert hall. How many children were at the concert hall in the end?
|
Girls |
Boys |
Before |
1 u |
7 u |
Change |
+ 98 |
- 34 |
After |
1 u + 98 |
7 u - 34 |
Number of children in the end is the same.
7 u - 34 = 1 u + 98
7 u - 1 u = 98 + 34
6 u = 132
1 u = 132 ÷ 6 = 22
Number of children in the end
= 2 x (1 u + 98)
= 2 u + 196
= 2 x 22 + 196
= 44 + 196
= 240
Answer(s): 240