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 8 : 9.
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 8 |
2 x 8 |
8 x 3 |
9 x 3 |
24 u |
16 u |
24 u |
27 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 3 and 8 = 24
Number of students in Class A
= 24 u + 16 u
= 40 u
Number of students in Class B
= 24 u + 27 u
= 51 u
Difference in the number of students in Class A and Class B
= 51 u - 40 u
= 11 u
(b)
Number of men in Class A = 16 u
Number of men in Class B = 27 u
Difference in the number of men in Class A and Class B
= 27 u - 16 u
= 11 u
(c)
Number of women in Class A = 24 uNumber of women in Class B = 24 u Total number of women = 24 u + 24 u= 48 u (d)
Total number of men in Class A and Class B
= 27 u + 16 u
= 43 u
Answer(s)
: (a) 11; (b) 11; (c) 48; (d) 43