Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 9 : 8.
The ratio of the number of women to the number of men in Class B is 5 : 6.
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 5 |
8 x 5 |
5 x 9 |
6 x 9 |
45 u |
40 u |
45 u |
54 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 9 and 5 = 45
Number of students in Class A
= 45 u + 40 u
= 85 u
Number of students in Class B
= 45 u + 54 u
= 99 u
Difference in the number of students in Class A and Class B
= 99 u - 85 u
= 14 u
(b)
Number of men in Class A = 40 u
Number of men in Class B = 54 u
Difference in the number of men in Class A and Class B
= 54 u - 40 u
= 14 u
(c)
Number of women in Class A = 45 uNumber of women in Class B = 45 u Total number of women = 45 u + 45 u= 90 u (d)
Total number of men in Class A and Class B
= 54 u + 40 u
= 94 u
Answer(s)
: (a) 14; (b) 14; (c) 90; (d) 94