At a party,
13 of the people are children. The remaining group of people is divided into women and men in the ratio of 2 : 7. Each woman is given 2 keychains and each man is given 4 keychains. Each accompanying child receives 7 keychains. Given that only 476 keychains are given away to men and children, how many less women are there than men?
Women |
Men |
Children |
2x9 |
1x9 |
2x2 |
7x2 |
|
4 u |
14 u |
9 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 9 is 18.
|
Women |
Men |
Children |
Number |
4 u |
14 u |
9 u |
Value |
2 |
4 |
7 |
Total value |
8 u |
56 u |
63 u |
Number of keychains given away to men and children
= 56 u + 63 u
= 119 u
1 u = 476 ÷ 119 = 4
Number of less women than men
= 14 u - 4 u
= 10 u
= 10 x 4
= 40
Answer(s): 40