At the theme park, there were 75% as many boys as girls and 20% more adults than boys. Given that there were 36 more adults than boys at the theme park, how many children were there altogether?
| Boys |
Girls |
Adults |
| 3x5 |
4x5 |
|
| 5x3 |
|
6x3 |
| 15 u |
20 u |
18 u |
75% =
75100 =
34Boys : Girls = 3 : 4
100% + 20% = 120%
120% =
120100 =
65 Boys : Adults = 5 : 6
The number of boys is repeated. Make the number of boys the same. LCM of 3 and 5 is 15.
Number of more adults than boys
= 18 u - 15 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of children
= 15 u + 20 u
= 35 u
= 35 x 12
= 420
Answer(s): 420
