At the laser tag park, there were 16 as many men as women and 23 as many children as adults. If there were 33 more children than men at the laser tag park, find the total number of people at the laser tag park.
| Children |
Adults |
Total |
| 2x7 |
3x7 |
5x7 |
| |
Men |
Women |
|
| |
1x3 |
6x3 |
|
| 14 u |
3 u |
18 u |
35 u |
Number of adults is the combined repeated identity. Make the number of adults the same. LCM of 7 and 3 is 21.
Number of more children than men
= 14 u - 3 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total number of people
= 35 u
= 35 x 3
= 105
Answer(s): 105
