At the theme park, there were 75% as many girls as boys and 40% more adults than girls. Given that there were 54 more adults than girls at the theme park, how many children were there altogether?
| Girls |
Boys |
Adults |
| 3x5 |
4x5 |
|
| 5x3 |
|
7x3 |
| 15 u |
20 u |
21 u |
75% =
75100 =
34Girls : Boys = 3 : 4
100% + 40% = 140%
140% =
140100 =
75 Girls : Adults = 5 : 7
The number of girls is repeated. Make the number of girls the same. LCM of 3 and 5 is 15.
Number of more adults than girls
= 21 u - 15 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Number of children
= 15 u + 20 u
= 35 u
= 35 x 9
= 315
Answer(s): 315
