Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 8 : 7.
The ratio of the number of men to the number of women in Class B is 6 : 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 |
8 x 3 |
7 x 3 |
6 x 4 |
7 x 4 |
24 u |
21 u |
24 u |
28 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 8 and 6 = 24
Number of students in Class A
= 24 u + 21 u
= 45 u
Number of students in Class B
= 24 u + 28 u
= 52 u
Difference in the number of students in Class A and Class B
= 52 u - 45 u
= 7 u
(b)
Number of women in Class A = 21 u
Number of women in Class B = 28 u
Difference in the number of women in Class A and Class B
= 28 u - 21 u
= 7 u
(c)
Number of men in Class A = 24 uNumber of men in Class B = 24 u Total number of men = 24 u + 24 u= 48 u (d)
Total number of women in Class A and Class B
= 28 u + 21 u
= 49 u
Answer(s)
: (a) 7; (b) 7; (c) 48; (d) 49