At the night market, there were 13 as many boys as girls and 35 as many adults as children. If there were 56 more adults than boys at the night market, find the total number of people at the night market.
| Adults |
Children |
Total |
| 3x4 |
5x4 |
8x4 |
| |
Boys |
Girls |
|
| |
1x5 |
3x5 |
|
| 12 u |
5 u |
15 u |
32 u |
Number of children is the combined repeated identity. Make the number of children the same. LCM of 4 and 5 is 20.
Number of more adults than boys
= 12 u - 5 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of people
= 32 u
= 32 x 8
= 256
Answer(s): 256
