There were 3 times as many men as women at a party. After 14 women left, the number of men was 9 times the number of the remaining women. How many people attended the party?
| |
Men |
Women |
Total |
| Before |
3x3 =
9 u |
1x3 =
3 u |
12 u |
| Change |
|
- 14 |
|
| After |
9 u |
1 u |
|
The number of men at first and in the end remains unchanged. Make the number of men the same. LCM of 3 and 9 is 9.
Number of women who left
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of people who attended the party
= 9 u + 3 u
= 12 u
= 12 x 7
= 84
Answer(s): 84
