Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 9 : 8.
The ratio of the number of men to the number of women in Class B is 4 : 5.
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 |
9 x 4 |
8 x 4 |
4 x 9 |
5 x 9 |
36 u |
32 u |
36 u |
45 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 9 and 4 = 36
Number of students in Class A
= 36 u + 32 u
= 68 u
Number of students in Class B
= 36 u + 45 u
= 81 u
Difference in the number of students in Class A and Class B
= 81 u - 68 u
= 13 u
(b)
Number of women in Class A = 32 u
Number of women in Class B = 45 u
Difference in the number of women in Class A and Class B
= 45 u - 32 u
= 13 u
(c)
Number of men in Class A = 36 uNumber of men in Class B = 36 u Total number of men = 36 u + 36 u= 72 u (d)
Total number of women in Class A and Class B
= 45 u + 32 u
= 77 u
Answer(s)
: (a) 13; (b) 13; (c) 72; (d) 77