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 4 : 5.
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 4 |
1 x 4 |
4 x 3 |
5 x 3 |
12 u |
4 u |
12 u |
15 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 3 and 4 = 12
Number of students in Class A
= 12 u + 4 u
= 16 u
Number of students in Class B
= 12 u + 15 u
= 27 u
Difference in the number of students in Class A and Class B
= 27 u - 16 u
= 11 u
(b)
Number of women in Class A = 4 u
Number of women in Class B = 15 u
Difference in the number of women in Class A and Class B
= 15 u - 4 u
= 11 u
(c)
Number of men in Class A = 12 uNumber of men in Class B = 12 u Total number of men = 12 u + 12 u= 24 u (d)
Total number of women in Class A and Class B
= 15 u + 4 u
= 19 u
Answer(s)
: (a) 11; (b) 11; (c) 24; (d) 19