At the theme park, there were 12 as many girls as boys and 35 as many adults as children. If there were 20 more adults than girls at the theme park, find the total number of people at the theme park.
| Adults |
Children |
Total |
| 3x3 |
5x3 |
8x3 |
| |
Girls |
Boys |
|
| |
1x5 |
2x5 |
|
| 9 u |
5 u |
10 u |
24 u |
Number of children is the combined repeated identity. Make the number of children the same. LCM of 3 and 5 is 15.
Number of more adults than girls
= 9 u - 5 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total number of people
= 24 u
= 24 x 5
= 120
Answer(s): 120
