Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 9 : 7.
The ratio of the number of women to the number of men in Class B is 6 : 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 |
9 x 2 |
7 x 2 |
6 x 3 |
7 x 3 |
18 u |
14 u |
18 u |
21 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 9 and 6 = 18
Number of students in Class A
= 18 u + 14 u
= 32 u
Number of students in Class B
= 18 u + 21 u
= 39 u
Difference in the number of students in Class A and Class B
= 39 u - 32 u
= 7 u
(b)
Number of men in Class A = 14 u
Number of men in Class B = 21 u
Difference in the number of men in Class A and Class B
= 21 u - 14 u
= 7 u
(c)
Number of women in Class A = 18 uNumber of women in Class B = 18 u Total number of women = 18 u + 18 u= 36 u (d)
Total number of men in Class A and Class B
= 21 u + 14 u
= 35 u
Answer(s)
: (a) 7; (b) 7; (c) 36; (d) 35