There were 2 times as many women as men at a party. After 20 men left, the number of women was 6 times the number of the remaining men. How many people attended the party?
| |
Women |
Men |
Total |
| Before |
2x3 =
6 u |
1x3 =
3 u |
9 u |
| Change |
|
- 20 |
|
| After |
6 u |
1 u |
|
The number of women at first and in the end remains unchanged. Make the number of women the same. LCM of 2 and 6 is 6.
Number of men who left
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of people who attended the party
= 6 u + 3 u
= 9 u
= 9 x 10
= 90
Answer(s): 90
