Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 2.
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 |
5 x 3 |
2 x 3 |
3 x 5 |
4 x 5 |
15 u |
6 u |
15 u |
20 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 3 = 15
Number of students in Class A
= 15 u + 6 u
= 21 u
Number of students in Class B
= 15 u + 20 u
= 35 u
Difference in the number of students in Class A and Class B
= 35 u - 21 u
= 14 u
(b)
Number of women in Class A = 6 u
Number of women in Class B = 20 u
Difference in the number of women in Class A and Class B
= 20 u - 6 u
= 14 u
(c)
Number of men in Class A = 15 uNumber of men in Class B = 15 u Total number of men = 15 u + 15 u= 30 u (d)
Total number of women in Class A and Class B
= 20 u + 6 u
= 26 u
Answer(s)
: (a) 14; (b) 14; (c) 30; (d) 26