Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 5 : 4.
The ratio of the number of women to the number of men in Class B is 2 : 3.
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 |
5 x 2 |
4 x 2 |
2 x 5 |
3 x 5 |
10 u |
8 u |
10 u |
15 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 5 and 2 = 10
Number of students in Class A
= 10 u + 8 u
= 18 u
Number of students in Class B
= 10 u + 15 u
= 25 u
Difference in the number of students in Class A and Class B
= 25 u - 18 u
= 7 u
(b)
Number of men in Class A = 8 u
Number of men in Class B = 15 u
Difference in the number of men in Class A and Class B
= 15 u - 8 u
= 7 u
(c)
Number of women in Class A = 10 uNumber of women in Class B = 10 u Total number of women = 10 u + 10 u= 20 u (d)
Total number of men in Class A and Class B
= 15 u + 8 u
= 23 u
Answer(s)
: (a) 7; (b) 7; (c) 20; (d) 23