At the arcade, there were 17 as many girls as boys and 23 as many adults as children. If there were 78 more adults than girls at the arcade, find the total number of people at the arcade.
| Adults |
Children |
Total |
| 2x8 |
3x8 |
5x8 |
| |
Girls |
Boys |
|
| |
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 girls
= 16 u - 3 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Total number of people
= 40 u
= 40 x 6
= 240
Answer(s): 240
