At the bowling alley, there were 12 as many girls as boys and 35 as many adults as children. If there were 28 more adults than girls at the bowling alley, find the total number of people at the bowling alley.
| 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 = 28
1 u = 28 ÷ 4 = 7
Total number of people
= 24 u
= 24 x 7
= 168
Answer(s): 168
