A total of 319 children and adults went to a concert hall. There were 49 more adults than children at the concert hall. Given that the number of women was 3 times the number of men at the concert hall, how many women were at the concert hall?
Children |
Adults |
Total |
4 u - 49 |
4 u |
319 |
|
Women |
Men |
|
|
3 u |
1 u |
|
Number of men = 1 u
Number of women = 3 u
Number of adults = 1 u + 3 u = 4 u
Number of children = 4 u - 49
Total number of people
= 4 u + 4 u - 49
= 8 u - 49
8 u - 49 = 319
8 u = 319 + 49
8 u = 368
1 u = 368 ÷ 8 = 46
Number of women
= 3 u
= 3 x 46
= 138
Answer(s): 138