Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 4 : 3.
The ratio of the number of women to the number of men in Class B is 5 : 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 |
4 x 5 |
3 x 5 |
5 x 4 |
9 x 4 |
20 u |
15 u |
20 u |
36 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 4 and 5 = 20
Number of students in Class A
= 20 u + 15 u
= 35 u
Number of students in Class B
= 20 u + 36 u
= 56 u
Difference in the number of students in Class A and Class B
= 56 u - 35 u
= 21 u
(b)
Number of men in Class A = 15 u
Number of men in Class B = 36 u
Difference in the number of men in Class A and Class B
= 36 u - 15 u
= 21 u
(c)
Number of women in Class A = 20 uNumber of women in Class B = 20 u Total number of women = 20 u + 20 u= 40 u (d)
Total number of men in Class A and Class B
= 36 u + 15 u
= 51 u
Answer(s)
: (a) 21; (b) 21; (c) 40; (d) 51