At the arcade, there were 75% as many boys as girls and 40% more adults than boys. Given that there were 24 less boys than adults at the arcade, how many children were there altogether?
| Boys |
Girls |
Adults |
| 3x5 |
4x5 |
|
| 5x3 |
|
7x3 |
| 15 u |
20 u |
21 u |
75% =
75100 =
34Boys : Girls = 3 : 4
100% + 40% = 140%
140% =
140100 =
75 Boys : Adults = 5 : 7
The number of boys is repeated. Make the number of boys the same. LCM of 3 and 5 is 15.
Number of less boys than adults
= 21 u - 15 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Number of children
= 15 u + 20 u
= 35 u
= 35 x 4
= 140
Answer(s): 140
