Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 7 : 4.
The ratio of the number of men to the number of women in Class B is 2 : 3.
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 |
7 x 2 |
4 x 2 |
2 x 7 |
3 x 7 |
14 u |
8 u |
14 u |
21 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 7 and 2 = 14
Number of students in Class A
= 14 u + 8 u
= 22 u
Number of students in Class B
= 14 u + 21 u
= 35 u
Difference in the number of students in Class A and Class B
= 35 u - 22 u
= 13 u
(b)
Number of women in Class A = 8 u
Number of women in Class B = 21 u
Difference in the number of women in Class A and Class B
= 21 u - 8 u
= 13 u
(c)
Number of men in Class A = 14 uNumber of men in Class B = 14 u Total number of men = 14 u + 14 u= 28 u (d)
Total number of women in Class A and Class B
= 21 u + 8 u
= 29 u
Answer(s)
: (a) 13; (b) 13; (c) 28; (d) 29