Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 3 : 1.
The ratio of the number of men to the number of women in Class B is 2 : 7.
The number of men is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of women in Class A and Class B = _____ u
- Total number of men = _____ u
- Total number of women = _____ u
(a)
Class A |
Class B |
Men |
Women |
Men |
Women |
3 x 2 |
1 x 2 |
2 x 3 |
7 x 3 |
6 u |
2 u |
6 u |
21 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 3 and 2 = 6
Number of students in Class A
= 6 u + 2 u
= 8 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 - 8 u
= 19 u
(b)
Number of women in Class A = 2 u
Number of women in Class B = 21 u
Difference in the number of women in Class A and Class B
= 21 u - 2 u
= 19 u
(c)
Number of men in Class A = 6 uNumber of men in Class B = 6 u Total number of men = 6 u + 6 u= 12 u (d)
Total number of women in Class A and Class B
= 21 u + 2 u
= 23 u
Answer(s)
: (a) 19; (b) 19; (c) 12; (d) 23