Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 1.
The ratio of the number of men to the number of women in Class B is 3 : 5.
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 |
5 x 3 |
1 x 3 |
3 x 5 |
5 x 5 |
15 u |
3 u |
15 u |
25 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 3 = 15
Number of students in Class A
= 15 u + 3 u
= 18 u
Number of students in Class B
= 15 u + 25 u
= 40 u
Difference in the number of students in Class A and Class B
= 40 u - 18 u
= 22 u
(b)
Number of women in Class A = 3 u
Number of women in Class B = 25 u
Difference in the number of women in Class A and Class B
= 25 u - 3 u
= 22 u
(c)
Number of men in Class A = 15 uNumber of men in Class B = 15 u Total number of men = 15 u + 15 u= 30 u (d)
Total number of women in Class A and Class B
= 25 u + 3 u
= 28 u
Answer(s)
: (a) 22; (b) 22; (c) 30; (d) 28