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 6 : 7.
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 6 |
2 x 6 |
6 x 5 |
7 x 5 |
30 u |
12 u |
30 u |
35 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 6 = 30
Number of students in Class A
= 30 u + 12 u
= 42 u
Number of students in Class B
= 30 u + 35 u
= 65 u
Difference in the number of students in Class A and Class B
= 65 u - 42 u
= 23 u
(b)
Number of women in Class A = 12 u
Number of women in Class B = 35 u
Difference in the number of women in Class A and Class B
= 35 u - 12 u
= 23 u
(c)
Number of men in Class A = 30 uNumber of men in Class B = 30 u Total number of men = 30 u + 30 u= 60 u (d)
Total number of women in Class A and Class B
= 35 u + 12 u
= 47 u
Answer(s)
: (a) 23; (b) 23; (c) 60; (d) 47