Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 3 : 2.
The ratio of the number of women to the number of men in Class B is 5 : 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 |
3 x 5 |
2 x 5 |
5 x 3 |
7 x 3 |
15 u |
10 u |
15 u |
21 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 3 and 5 = 15
Number of students in Class A
= 15 u + 10 u
= 25 u
Number of students in Class B
= 15 u + 21 u
= 36 u
Difference in the number of students in Class A and Class B
= 36 u - 25 u
= 11 u
(b)
Number of men in Class A = 10 u
Number of men in Class B = 21 u
Difference in the number of men in Class A and Class B
= 21 u - 10 u
= 11 u
(c)
Number of women in Class A = 15 uNumber of women in Class B = 15 u Total number of women = 15 u + 15 u= 30 u (d)
Total number of men in Class A and Class B
= 21 u + 10 u
= 31 u
Answer(s)
: (a) 11; (b) 11; (c) 30; (d) 31