At the theme park, there were 14 as many boys as girls and 34 as many adults as children. If there were 22 more adults than boys at the theme park, find the total number of people at the theme park.
| Adults |
Children |
Total |
| 3x5 |
4x5 |
7x5 |
| |
Boys |
Girls |
|
| |
1x4 |
4x4 |
|
| 15 u |
4 u |
16 u |
35 u |
Number of children is the combined repeated identity. Make the number of children the same. LCM of 5 and 4 is 20.
Number of more adults than boys
= 15 u - 4 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total number of people
= 35 u
= 35 x 2
= 70
Answer(s): 70
