At the arcade, there were 75% as many women as men and 30% more children than women. Given that there were 27 more children than women at the arcade, how many adults were there altogether?
| Women |
Men |
Children |
| 3x10 |
4x10 |
|
| 10x3 |
|
13x3 |
| 30 u |
40 u |
39 u |
75% =
75100 =
34Women : Men = 3 : 4
100% + 30% = 130%
130% =
130100 =
1310 Women : Children = 10 : 13
The number of women is repeated. Make the number of women the same. LCM of 3 and 10 is 30.
Number of more children than women
= 39 u - 30 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of adults
= 30 u + 40 u
= 70 u
= 70 x 3
= 210
Answer(s): 210
