At the arcade, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 36 less boys than adults at the arcade, how many children were there altogether?
| Boys |
Girls |
Adults |
| 3x10 |
5x10 |
|
| 10x3 |
|
13x3 |
| 30 u |
50 u |
39 u |
60% =
60100 =
35Boys : Girls = 3 : 5
100% + 30% = 130%
130% =
130100 =
1310 Boys : Adults = 10 : 13
The number of boys is repeated. Make the number of boys the same. LCM of 3 and 10 is 30.
Number of less boys than adults
= 39 u - 30 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of children
= 30 u + 50 u
= 80 u
= 80 x 4
= 320
Answer(s): 320
