Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 7 : 2.
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 |
7 x 5 |
2 x 5 |
5 x 7 |
6 x 7 |
35 u |
10 u |
35 u |
42 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 7 and 5 = 35
Number of students in Class A
= 35 u + 10 u
= 45 u
Number of students in Class B
= 35 u + 42 u
= 77 u
Difference in the number of students in Class A and Class B
= 77 u - 45 u
= 32 u
(b)
Number of men in Class A = 10 u
Number of men in Class B = 42 u
Difference in the number of men in Class A and Class B
= 42 u - 10 u
= 32 u
(c)
Number of women in Class A = 35 uNumber of women in Class B = 35 u Total number of women = 35 u + 35 u= 70 u (d)
Total number of men in Class A and Class B
= 42 u + 10 u
= 52 u
Answer(s)
: (a) 32; (b) 32; (c) 70; (d) 52