Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 7 : 3.
The ratio of the number of men to the number of women in Class B is 9 : 10.
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 |
7 x 9 |
3 x 9 |
9 x 7 |
10 x 7 |
63 u |
27 u |
63 u |
70 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 7 and 9 = 63
Number of students in Class A
= 63 u + 27 u
= 90 u
Number of students in Class B
= 63 u + 70 u
= 133 u
Difference in the number of students in Class A and Class B
= 133 u - 90 u
= 43 u
(b)
Number of women in Class A = 27 u
Number of women in Class B = 70 u
Difference in the number of women in Class A and Class B
= 70 u - 27 u
= 43 u
(c)
Number of men in Class A = 63 uNumber of men in Class B = 63 u Total number of men = 63 u + 63 u= 126 u (d)
Total number of women in Class A and Class B
= 70 u + 27 u
= 97 u
Answer(s)
: (a) 43; (b) 43; (c) 126; (d) 97