Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 7 : 3.
The ratio of the number of women to the number of men in Class B is 6 : 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 |
7 x 6 |
3 x 6 |
6 x 7 |
7 x 7 |
42 u |
18 u |
42 u |
49 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 7 and 6 = 42
Number of students in Class A
= 42 u + 18 u
= 60 u
Number of students in Class B
= 42 u + 49 u
= 91 u
Difference in the number of students in Class A and Class B
= 91 u - 60 u
= 31 u
(b)
Number of men in Class A = 18 u
Number of men in Class B = 49 u
Difference in the number of men in Class A and Class B
= 49 u - 18 u
= 31 u
(c)
Number of women in Class A = 42 uNumber of women in Class B = 42 u Total number of women = 42 u + 42 u= 84 u (d)
Total number of men in Class A and Class B
= 49 u + 18 u
= 67 u
Answer(s)
: (a) 31; (b) 31; (c) 84; (d) 67