Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 3 : 2.
The ratio of the number of women to the number of men in Class B is 2 : 7.
The number of women is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of men in Class A and Class B = _____ u
- Total number of women = _____ u
- Total number of men = _____ u
(a)
Class A |
Class B |
Women |
Men |
Women |
Men |
3 x 2 |
2 x 2 |
2 x 3 |
7 x 3 |
6 u |
4 u |
6 u |
21 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 3 and 2 = 6
Number of students in Class A
= 6 u + 4 u
= 10 u
Number of students in Class B
= 6 u + 21 u
= 27 u
Difference in the number of students in Class A and Class B
= 27 u - 10 u
= 17 u
(b)
Number of men in Class A = 4 u
Number of men in Class B = 21 u
Difference in the number of men in Class A and Class B
= 21 u - 4 u
= 17 u
(c)
Number of women in Class A = 6 uNumber of women in Class B = 6 u Total number of women = 6 u + 6 u= 12 u (d)
Total number of men in Class A and Class B
= 21 u + 4 u
= 25 u
Answer(s)
: (a) 17; (b) 17; (c) 12; (d) 25