At the arcade, there were 75% as many men as women and 30% more children than men. Given that there were 72 less men than children at the arcade, how many adults were there altogether?
| Men |
Women |
Children |
| 3x10 |
4x10 |
|
| 10x3 |
|
13x3 |
| 30 u |
40 u |
39 u |
75% =
75100 =
34Men : Women = 3 : 4
100% + 30% = 130%
130% =
130100 =
1310 Men : Children = 10 : 13
The number of men is repeated. Make the number of men the same. LCM of 3 and 10 is 30.
Number of less men than children
= 39 u - 30 u
= 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of adults
= 30 u + 40 u
= 70 u
= 70 x 8
= 560
Answer(s): 560
