At the trampoline park, there were 40% as many men as women and 30% more children than men. Given that there were 27 less men than children at the trampoline park, how many adults were there altogether?
| Men |
Women |
Children |
| 2x5 |
5x5 |
|
| 10x1 |
|
13x1 |
| 10 u |
25 u |
13 u |
40% =
40100 =
25Men : Women = 2 : 5
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 2 and 10 is 10.
Number of less men than children
= 13 u - 10 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of adults
= 10 u + 25 u
= 35 u
= 35 x 9
= 315
Answer(s): 315
