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 9 : 10.
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 9 |
1 x 9 |
9 x 4 |
10 x 4 |
36 u |
9 u |
36 u |
40 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 4 and 9 = 36
Number of students in Class A
= 36 u + 9 u
= 45 u
Number of students in Class B
= 36 u + 40 u
= 76 u
Difference in the number of students in Class A and Class B
= 76 u - 45 u
= 31 u
(b)
Number of men in Class A = 9 u
Number of men in Class B = 40 u
Difference in the number of men in Class A and Class B
= 40 u - 9 u
= 31 u
(c)
Number of women in Class A = 36 uNumber of women in Class B = 36 u Total number of women = 36 u + 36 u= 72 u (d)
Total number of men in Class A and Class B
= 40 u + 9 u
= 49 u
Answer(s)
: (a) 31; (b) 31; (c) 72; (d) 49