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 4 chocolates and each man is given 5 chocolates. Each accompanying child receives 7 chocolates. Given that only 266 chocolates 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 |
4 |
5 |
7 |
| Total value |
16 u |
70 u |
63 u |
Number of chocolates given away to men and children
= 70 u + 63 u
= 133 u
1 u = 266 ÷ 133 = 2
Number of less women than men
= 14 u - 4 u
= 10 u
= 10 x 2
= 20
Answer(s): 20
