At the arcade, there were 40% as many girls as boys and 20% more adults than girls. Given that there were 14 less girls than adults at the arcade, how many children were there altogether?
| Girls |
Boys |
Adults |
| 2x5 |
5x5 |
|
| 5x2 |
|
6x2 |
| 10 u |
25 u |
12 u |
40% =
40100 =
25Girls : Boys = 2 : 5
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 2 and 5 is 10.
Number of less girls than adults
= 12 u - 10 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of children
= 10 u + 25 u
= 35 u
= 35 x 7
= 245
Answer(s): 245
