At the bowling alley, there were 15 as many women as men and 34 as many children as adults. If there were 70 more children than women at the bowling alley, find the total number of people at the bowling alley.
| Children |
Adults |
Total |
| 3x3 |
4x3 |
7x3 |
| |
Women |
Men |
|
| |
1x2 |
5x2 |
|
| 9 u |
2 u |
10 u |
21 u |
Number of adults is the combined repeated identity. Make the number of adults the same. LCM of 6 and 4 is 12.
Number of more children than women
= 9 u - 2 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Total number of people
= 21 u
= 21 x 10
= 210
Answer(s): 210
