Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 9 : 7.
The ratio of the number of men to the number of women in Class B is 2 : 3.
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 |
9 x 2 |
7 x 2 |
2 x 9 |
3 x 9 |
18 u |
14 u |
18 u |
27 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 9 and 2 = 18
Number of students in Class A
= 18 u + 14 u
= 32 u
Number of students in Class B
= 18 u + 27 u
= 45 u
Difference in the number of students in Class A and Class B
= 45 u - 32 u
= 13 u
(b)
Number of women in Class A = 14 u
Number of women in Class B = 27 u
Difference in the number of women in Class A and Class B
= 27 u - 14 u
= 13 u
(c)
Number of men in Class A = 18 uNumber of men in Class B = 18 u Total number of men = 18 u + 18 u= 36 u (d)
Total number of women in Class A and Class B
= 27 u + 14 u
= 41 u
Answer(s)
: (a) 13; (b) 13; (c) 36; (d) 41