At the fair, there were 17 as many women as men and 23 as many children as adults. If there were 130 more children than women at the fair, find the total number of people at the fair.
| Children |
Adults |
Total |
| 2x8 |
3x8 |
5x8 |
| |
Women |
Men |
|
| |
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 women
= 16 u - 3 u
= 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
Total number of people
= 40 u
= 40 x 10
= 400
Answer(s): 400
