Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 2 : 1.
The ratio of the number of women to the number of men in Class B is 5 : 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 |
2 x 5 |
1 x 5 |
5 x 2 |
7 x 2 |
10 u |
5 u |
10 u |
14 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 2 and 5 = 10
Number of students in Class A
= 10 u + 5 u
= 15 u
Number of students in Class B
= 10 u + 14 u
= 24 u
Difference in the number of students in Class A and Class B
= 24 u - 15 u
= 9 u
(b)
Number of men in Class A = 5 u
Number of men in Class B = 14 u
Difference in the number of men in Class A and Class B
= 14 u - 5 u
= 9 u
(c)
Number of women in Class A = 10 uNumber of women in Class B = 10 u Total number of women = 10 u + 10 u= 20 u (d)
Total number of men in Class A and Class B
= 14 u + 5 u
= 19 u
Answer(s)
: (a) 9; (b) 9; (c) 20; (d) 19