Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 3 : 1.
The ratio of the number of men to the number of women in Class B is 7 : 10.
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 |
3 x 7 |
1 x 7 |
7 x 3 |
10 x 3 |
21 u |
7 u |
21 u |
30 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 3 and 7 = 21
Number of students in Class A
= 21 u + 7 u
= 28 u
Number of students in Class B
= 21 u + 30 u
= 51 u
Difference in the number of students in Class A and Class B
= 51 u - 28 u
= 23 u
(b)
Number of women in Class A = 7 u
Number of women in Class B = 30 u
Difference in the number of women in Class A and Class B
= 30 u - 7 u
= 23 u
(c)
Number of men in Class A = 21 uNumber of men in Class B = 21 u Total number of men = 21 u + 21 u= 42 u (d)
Total number of women in Class A and Class B
= 30 u + 7 u
= 37 u
Answer(s)
: (a) 23; (b) 23; (c) 42; (d) 37