There were 4 times as many women as men at a party. After 15 men left, the number of women was 16 times the number of the remaining men. How many people attended the party?
|
Women |
Men |
Total |
Before |
4x4 = 16 u |
1x4 = 4 u |
20 u |
Change |
|
- 15 |
|
After |
16 u |
1 u |
|
The number of women at first and in the end remains unchanged. Make the number of women the same. LCM of 4 and 16 is 16.
Number of men who left
= 4 u - 1 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of people who attended the party
= 16 u + 4 u
= 20 u
= 20 x 5
= 100
Answer(s): 100