Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 6 : 5.
The ratio of the number of men to the number of women in Class B is 7 : 8.
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 |
6 x 7 |
5 x 7 |
7 x 6 |
8 x 6 |
42 u |
35 u |
42 u |
48 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 6 and 7 = 42
Number of students in Class A
= 42 u + 35 u
= 77 u
Number of students in Class B
= 42 u + 48 u
= 90 u
Difference in the number of students in Class A and Class B
= 90 u - 77 u
= 13 u
(b)
Number of women in Class A = 35 u
Number of women in Class B = 48 u
Difference in the number of women in Class A and Class B
= 48 u - 35 u
= 13 u
(c)
Number of men in Class A = 42 uNumber of men in Class B = 42 u Total number of men = 42 u + 42 u= 84 u (d)
Total number of women in Class A and Class B
= 48 u + 35 u
= 83 u
Answer(s)
: (a) 13; (b) 13; (c) 84; (d) 83