At the arcade, there were 14 as many men as women and 34 as many children as adults. If there were 77 more children than men at the arcade, find the total number of people at the arcade.
| Children |
Adults |
Total |
| 3x5 |
4x5 |
7x5 |
| |
Men |
Women |
|
| |
1x4 |
4x4 |
|
| 15 u |
4 u |
16 u |
35 u |
Number of adults is the combined repeated identity. Make the number of adults the same. LCM of 5 and 4 is 20.
Number of more children than men
= 15 u - 4 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Total number of people
= 35 u
= 35 x 7
= 245
Answer(s): 245
