Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 2 : 1.
The ratio of the number of men to the number of women in Class B is 3 : 4.
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 |
2 x 3 |
1 x 3 |
3 x 2 |
4 x 2 |
6 u |
3 u |
6 u |
8 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 2 and 3 = 6
Number of students in Class A
= 6 u + 3 u
= 9 u
Number of students in Class B
= 6 u + 8 u
= 14 u
Difference in the number of students in Class A and Class B
= 14 u - 9 u
= 5 u
(b)
Number of women in Class A = 3 u
Number of women in Class B = 8 u
Difference in the number of women in Class A and Class B
= 8 u - 3 u
= 5 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
= 8 u + 3 u
= 11 u
Answer(s)
: (a) 5; (b) 5; (c) 12; (d) 11