Half an hour ago, 50% of the people at a performance were males. 49 males and 5 females left afterwards. The remaining people were then told to form groups of 4. In each group, there were 3 females. How many people were there at the performance in the end?
| |
Males |
Females |
| Before |
1 u + 49 |
3 u + 5 |
| Change |
- 49 |
- 5 |
| After |
1 u |
3 u |
50% =
50100 =
12Since 50% of the people at the performance were males at first, this means half of the people were males and the other half of the people were females.
So, the number of males is equal to the number of females at first.
1 u + 49 = 3 u + 5
3 u - 1 u = 49 - 5
2 u = 44
1 u = 44 ÷ 2 = 22
Number of people at the performance in the end
= 1 u + 3 u
= 4 u
= 4 x 22
= 88
Answer: 88
