At the fair, there were 17 as many boys as girls and 23 as many adults as children. If there were 78 more adults than boys at the fair, find the total number of people at the fair.
| 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 = 78
1 u = 78 ÷ 13 = 6
Total number of people
= 40 u
= 40 x 6
= 240
Answer(s): 240
