Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 7 : 2.
The ratio of the number of women to the number of men in Class B is 2 : 5.
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 2 |
2 x 2 |
2 x 7 |
5 x 7 |
14 u |
4 u |
14 u |
35 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 7 and 2 = 14
Number of students in Class A
= 14 u + 4 u
= 18 u
Number of students in Class B
= 14 u + 35 u
= 49 u
Difference in the number of students in Class A and Class B
= 49 u - 18 u
= 31 u
(b)
Number of men in Class A = 4 u
Number of men in Class B = 35 u
Difference in the number of men in Class A and Class B
= 35 u - 4 u
= 31 u
(c)
Number of women in Class A = 14 uNumber of women in Class B = 14 u Total number of women = 14 u + 14 u= 28 u (d)
Total number of men in Class A and Class B
= 35 u + 4 u
= 39 u
Answer(s)
: (a) 31; (b) 31; (c) 28; (d) 39