There were 4 times as many men as women at a telematch. After 27 women left, the number of men was 16 times the number of the remaining women. How many people attended the telematch?
|
Men |
Women |
Total |
Before |
4x4 = 16 u |
1x4 = 4 u |
20 u |
Change |
|
- 27 |
|
After |
16 u |
1 u |
|
The number of men at first and in the end remains unchanged. Make the number of men the same. LCM of 4 and 16 is 16.
Number of women who left
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of people who attended the telematch
= 16 u + 4 u
= 20 u
= 20 x 9
= 180
Answer(s): 180