At a party,
13 of the people are children. The remaining group of people is divided into women and men in the ratio of 3 : 5. Each woman is given 2 keychains and each man is given 3 keychains. Each accompanying child receives 4 keychains. Given that only 372 keychains are given away to men and children, how many less women are there than men?
| Women |
Men |
Children |
| 2x4 |
1x4 |
| 3x1 |
5x1 |
|
| 3 u |
5 u |
4 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 8 is 8.
| |
Women |
Men |
Children |
| Number |
3 u |
5 u |
4 u |
| Value |
2 |
3 |
4 |
| Total value |
6 u |
15 u |
16 u |
Number of keychains given away to men and children
= 15 u + 16 u
= 31 u
1 u = 372 ÷ 31 = 12
Number of less women than men
= 5 u - 3 u
= 2 u
= 2 x 12
= 24
Answer(s): 24
