At the museum, there were
57 as many girls as boys. After 64 girls came and 36 boys left the museum, there was an equal number of girls and boys who remained at the museum. How many children were at the museum in the end?
|
Girls |
Boys |
Before |
5 u |
7 u |
Change |
+ 64 |
- 36 |
After |
5 u + 64 |
7 u - 36 |
Number of children in the end is the same.
7 u - 36 = 5 u + 64
7 u - 5 u = 64 + 36
2 u = 100
1 u = 100 ÷ 2 = 50
Number of children in the end
= 2 x (5 u + 64)
= 10 u + 128
= 10 x 50 + 128
= 500 + 128
= 628
Answer(s): 628