Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 10 : 7.
The ratio of the number of men to the number of women in Class B is 4 : 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 |
10 x 2 |
7 x 2 |
4 x 5 |
7 x 5 |
20 u |
14 u |
20 u |
35 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 10 and 4 = 20
Number of students in Class A
= 20 u + 14 u
= 34 u
Number of students in Class B
= 20 u + 35 u
= 55 u
Difference in the number of students in Class A and Class B
= 55 u - 34 u
= 21 u
(b)
Number of women in Class A = 14 u
Number of women in Class B = 35 u
Difference in the number of women in Class A and Class B
= 35 u - 14 u
= 21 u
(c)
Number of men in Class A = 20 uNumber of men in Class B = 20 u Total number of men = 20 u + 20 u= 40 u (d)
Total number of women in Class A and Class B
= 35 u + 14 u
= 49 u
Answer(s)
: (a) 21; (b) 21; (c) 40; (d) 49