At the arcade, there were 75% as many women as men and 10% more children than women. Given that there were 30 less women than children at the arcade, how many adults were there altogether?
| Women |
Men |
Children |
| 3x10 |
4x10 |
|
| 10x3 |
|
11x3 |
| 30 u |
40 u |
33 u |
75% =
75100 =
34Women : Men = 3 : 4
100% + 10% = 110%
110% =
110100 =
1110 Women : Children = 10 : 11
The number of women is repeated. Make the number of women the same. LCM of 3 and 10 is 30.
Number of less women than children
= 33 u - 30 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of adults
= 30 u + 40 u
= 70 u
= 70 x 10
= 700
Answer(s): 700
