At the concert hall, there were
38 as many boys as girls. After 62 boys came and 33 girls left the concert hall, there was an equal number of boys and girls who remained at the concert hall. How many children were at the concert hall in the end?
|
Boys |
Girls |
Before |
3 u |
8 u |
Change |
+ 62 |
- 33 |
After |
3 u + 62 |
8 u - 33 |
Number of children in the end is the same.
8 u - 33 = 3 u + 62
8 u - 3 u = 62 + 33
5 u = 95
1 u = 95 ÷ 5 = 19
Number of children in the end
= 2 x (3 u + 62)
= 6 u + 124
= 6 x 19 + 124
= 114 + 124
= 238
Answer(s): 238