At the fair, there were 75% as many girls as boys and 20% more adults than girls. Given that there were 21 less girls than adults at the fair, how many children were there altogether?
| Girls |
Boys |
Adults |
| 3x5 |
4x5 |
|
| 5x3 |
|
6x3 |
| 15 u |
20 u |
18 u |
75% =
75100 =
34Girls : Boys = 3 : 4
100% + 20% = 120%
120% =
120100 =
65 Girls : Adults = 5 : 6
The number of girls is repeated. Make the number of girls the same. LCM of 3 and 5 is 15.
Number of less girls than adults
= 18 u - 15 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of children
= 15 u + 20 u
= 35 u
= 35 x 7
= 245
Answer(s): 245
