There were 4 times as many men as women at a performance. After 12 women left, the number of men was 20 times the number of the remaining women. How many people attended the performance?
| |
Men |
Women |
Total |
| Before |
4x5 =
20 u |
1x5 =
5 u |
25 u |
| Change |
|
- 12 |
|
| After |
20 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 20 is 20.
Number of women who left
= 5 u - 1 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Number of people who attended the performance
= 20 u + 5 u
= 25 u
= 25 x 3
= 75
Answer(s): 75
