Half an hour ago, 50% of the people at a tv show were males. 31 males and 7 females left afterwards. The remaining people were then told to form groups of 7. In each group, there were 5 females. How many people were there at the tv show in the end?
| |
Males |
Females |
| Before |
2 u + 31 |
5 u + 7 |
| Change |
- 31 |
- 7 |
| After |
2 u |
5 u |
50% =
50100 =
12Since 50% of the people at the tv show 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.
2 u + 31 = 5 u + 7
5 u - 2 u = 31 - 7
3 u = 24
1 u = 24 ÷ 3 = 8
Number of people at the tv show in the end
= 2 u + 5 u
= 7 u
= 7 x 8
= 56
Answer: 56
