At the arcade, there were 12 as many women as men and 37 as many children as adults. If there were 20 more children than women at the arcade, find the total number of people at the arcade.
| Children |
Adults |
Total |
| 3x3 |
7x3 |
10x3 |
| |
Women |
Men |
|
| |
1x7 |
2x7 |
|
| 9 u |
7 u |
14 u |
30 u |
Number of adults is the combined repeated identity. Make the number of adults the same. LCM of 3 and 7 is 21.
Number of more children than women
= 9 u - 7 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of people
= 30 u
= 30 x 10
= 300
Answer(s): 300
