At the arcade, there were 60% as many girls as boys and 30% more adults than girls. Given that there were 54 more adults than girls at the arcade, how many children were there altogether?
| Girls |
Boys |
Adults |
| 3x10 |
5x10 |
|
| 10x3 |
|
13x3 |
| 30 u |
50 u |
39 u |
60% =
60100 =
35Girls : Boys = 3 : 5
100% + 30% = 130%
130% =
130100 =
1310 Girls : Adults = 10 : 13
The number of girls is repeated. Make the number of girls the same. LCM of 3 and 10 is 30.
Number of more adults than girls
= 39 u - 30 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of children
= 30 u + 50 u
= 80 u
= 80 x 6
= 480
Answer(s): 480
