At the arcade, there were 17 as many boys as girls and 23 as many adults as children. If there were 104 more adults than boys at the arcade, find the total number of people at the arcade.
| Adults |
Children |
Total |
| 2x8 |
3x8 |
5x8 |
| |
Boys |
Girls |
|
| |
1x3 |
7x3 |
|
| 16 u |
3 u |
21 u |
40 u |
Number of children is the combined repeated identity. Make the number of children the same. LCM of 8 and 3 is 24.
Number of more adults than boys
= 16 u - 3 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
Total number of people
= 40 u
= 40 x 8
= 320
Answer(s): 320
