At the fair, there were 17 as many men as women and 23 as many children as adults. If there were 52 more children than men at the fair, find the total number of people at the fair.
| Children |
Adults |
Total |
| 2x8 |
3x8 |
5x8 |
| |
Men |
Women |
|
| |
1x3 |
7x3 |
|
| 16 u |
3 u |
21 u |
40 u |
Number of adults is the combined repeated identity. Make the number of adults the same. LCM of 8 and 3 is 24.
Number of more children than men
= 16 u - 3 u
= 13 u
13 u = 52
1 u = 52 ÷ 13 = 4
Total number of people
= 40 u
= 40 x 4
= 160
Answer(s): 160
