Half an hour ago, 50% of the people at a performance were females. 54 females and 4 males left afterwards. The remaining people were then told to form groups of 8. In each group, there were 5 males. How many people were there at the performance in the end?
| |
Females |
Males |
| Before |
3 u + 54 |
5 u + 4 |
| Change |
- 54 |
- 4 |
| After |
3 u |
5 u |
50% =
50100 =
12Since 50% of the people at the performance were females at first, this means half of the people were females and the other half of the people were males.
So, the number of females is equal to the number of males at first.
3 u + 54 = 5 u + 4
5 u - 3 u = 54 - 4
2 u = 50
1 u = 50 ÷ 2 = 25
Number of people at the performance in the end
= 3 u + 5 u
= 8 u
= 8 x 25
= 200
Answer: 200
