Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 9 : 5.
The ratio of the number of women to the number of men in Class B is 7 : 8.
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 |
9 x 7 |
5 x 7 |
7 x 9 |
8 x 9 |
63 u |
35 u |
63 u |
72 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 9 and 7 = 63
Number of students in Class A
= 63 u + 35 u
= 98 u
Number of students in Class B
= 63 u + 72 u
= 135 u
Difference in the number of students in Class A and Class B
= 135 u - 98 u
= 37 u
(b)
Number of men in Class A = 35 u
Number of men in Class B = 72 u
Difference in the number of men in Class A and Class B
= 72 u - 35 u
= 37 u
(c)
Number of women in Class A = 63 uNumber of women in Class B = 63 u Total number of women = 63 u + 63 u= 126 u (d)
Total number of men in Class A and Class B
= 72 u + 35 u
= 107 u
Answer(s)
: (a) 37; (b) 37; (c) 126; (d) 107