Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 3.
The ratio of the number of men to the number of women in Class B is 2 : 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 |
5 x 2 |
3 x 2 |
2 x 5 |
5 x 5 |
10 u |
6 u |
10 u |
25 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 2 = 10
Number of students in Class A
= 10 u + 6 u
= 16 u
Number of students in Class B
= 10 u + 25 u
= 35 u
Difference in the number of students in Class A and Class B
= 35 u - 16 u
= 19 u
(b)
Number of women in Class A = 6 u
Number of women in Class B = 25 u
Difference in the number of women in Class A and Class B
= 25 u - 6 u
= 19 u
(c)
Number of men in Class A = 10 uNumber of men in Class B = 10 u Total number of men = 10 u + 10 u= 20 u (d)
Total number of women in Class A and Class B
= 25 u + 6 u
= 31 u
Answer(s)
: (a) 19; (b) 19; (c) 20; (d) 31