Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 7 : 4.
The ratio of the number of women to the number of men in Class B is 3 : 4.
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 |
7 x 3 |
4 x 3 |
3 x 7 |
4 x 7 |
21 u |
12 u |
21 u |
28 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 7 and 3 = 21
Number of students in Class A
= 21 u + 12 u
= 33 u
Number of students in Class B
= 21 u + 28 u
= 49 u
Difference in the number of students in Class A and Class B
= 49 u - 33 u
= 16 u
(b)
Number of men in Class A = 12 u
Number of men in Class B = 28 u
Difference in the number of men in Class A and Class B
= 28 u - 12 u
= 16 u
(c)
Number of women in Class A = 21 uNumber of women in Class B = 21 u Total number of women = 21 u + 21 u= 42 u (d)
Total number of men in Class A and Class B
= 28 u + 12 u
= 40 u
Answer(s)
: (a) 16; (b) 16; (c) 42; (d) 40