At a party,
14 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 3. Each woman is given 4 chocolates and each man is given 7 chocolates. Each accompanying child receives 10 chocolates. Given that only 452 chocolates are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 3x5 |
1x5 |
| 2x3 |
3x3 |
|
| 6 u |
9 u |
5 u |
The number of adults is repeated. Make the number of adults the same. LCM of 3 and 5 is 15.
| |
Women |
Men |
Children |
| Number |
6 u |
9 u |
5 u |
| Value |
4 |
7 |
10 |
| Total value |
24 u |
63 u |
50 u |
Number of chocolates given away to men and children
= 63 u + 50 u
= 113 u
1 u = 452 ÷ 113 = 4
Number of less women than men
= 9 u - 6 u
= 3 u
= 3 x 4
= 12
Answer(s): 12
