Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 4 : 1.
The ratio of the number of women to the number of men in Class B is 7 : 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 7 |
1 x 7 |
7 x 4 |
9 x 4 |
28 u |
7 u |
28 u |
36 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 4 and 7 = 28
Number of students in Class A
= 28 u + 7 u
= 35 u
Number of students in Class B
= 28 u + 36 u
= 64 u
Difference in the number of students in Class A and Class B
= 64 u - 35 u
= 29 u
(b)
Number of men in Class A = 7 u
Number of men in Class B = 36 u
Difference in the number of men in Class A and Class B
= 36 u - 7 u
= 29 u
(c)
Number of women in Class A = 28 uNumber of women in Class B = 28 u Total number of women = 28 u + 28 u= 56 u (d)
Total number of men in Class A and Class B
= 36 u + 7 u
= 43 u
Answer(s)
: (a) 29; (b) 29; (c) 56; (d) 43