At the bowling alley, there were 12 as many boys as girls and 37 as many adults as children. If there were 18 more adults than boys at the bowling alley, find the total number of people at the bowling alley.
| Adults |
Children |
Total |
| 3x3 |
7x3 |
10x3 |
| |
Boys |
Girls |
|
| |
1x7 |
2x7 |
|
| 9 u |
7 u |
14 u |
30 u |
Number of children is the combined repeated identity. Make the number of children the same. LCM of 3 and 7 is 21.
Number of more adults than boys
= 9 u - 7 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Total number of people
= 30 u
= 30 x 9
= 270
Answer(s): 270
