At the arcade, there were 40% as many boys as girls and 40% more adults than boys. Given that there were 16 less boys than adults at the arcade, how many children were there altogether?
Boys |
Girls |
Adults |
2x5 |
5x5 |
|
5x2 |
|
7x2 |
10 u |
25 u |
14 u |
40% =
40100 =
25Boys : Girls = 2 : 5
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 2 and 5 is 10.
Number of less boys than adults
= 14 u - 10 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Number of children
= 10 u + 25 u
= 35 u
= 35 x 4
= 140
Answer(s): 140