There were 4 times as many men as women at a party. After 40 women left, the number of men was 20 times the number of the remaining women. How many people attended the party?
|
Men |
Women |
Total |
Before |
4x5 = 20 u |
1x5 = 5 u |
25 u |
Change |
|
- 40 |
|
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 = 40
1 u = 40 ÷ 4 = 10
Number of people who attended the party
= 20 u + 5 u
= 25 u
= 25 x 10
= 250
Answer(s): 250