At the night market, there were 75% as many men as women and 10% more children than men. Given that there were 33 less men than children at the night market, how many adults were there altogether?
| Men |
Women |
Children |
| 3x10 |
4x10 |
|
| 10x3 |
|
11x3 |
| 30 u |
40 u |
33 u |
75% =
75100 =
34Men : Women = 3 : 4
100% + 10% = 110%
110% =
110100 =
1110 Men : Children = 10 : 11
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
= 33 u - 30 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Number of adults
= 30 u + 40 u
= 70 u
= 70 x 11
= 770
Answer(s): 770
