Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 4 : 1.
The ratio of the number of men to the number of women in Class B is 3 : 4.
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 |
4 x 3 |
1 x 3 |
3 x 4 |
4 x 4 |
12 u |
3 u |
12 u |
16 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 4 and 3 = 12
Number of students in Class A
= 12 u + 3 u
= 15 u
Number of students in Class B
= 12 u + 16 u
= 28 u
Difference in the number of students in Class A and Class B
= 28 u - 15 u
= 13 u
(b)
Number of women in Class A = 3 u
Number of women in Class B = 16 u
Difference in the number of women in Class A and Class B
= 16 u - 3 u
= 13 u
(c)
Number of men in Class A = 12 uNumber of men in Class B = 12 u Total number of men = 12 u + 12 u= 24 u (d)
Total number of women in Class A and Class B
= 16 u + 3 u
= 19 u
Answer(s)
: (a) 13; (b) 13; (c) 24; (d) 19