Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 8 : 3.
The ratio of the number of women to the number of men in Class B is 5 : 7.
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 |
8 x 5 |
3 x 5 |
5 x 8 |
7 x 8 |
40 u |
15 u |
40 u |
56 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 8 and 5 = 40
Number of students in Class A
= 40 u + 15 u
= 55 u
Number of students in Class B
= 40 u + 56 u
= 96 u
Difference in the number of students in Class A and Class B
= 96 u - 55 u
= 41 u
(b)
Number of men in Class A = 15 u
Number of men in Class B = 56 u
Difference in the number of men in Class A and Class B
= 56 u - 15 u
= 41 u
(c)
Number of women in Class A = 40 uNumber of women in Class B = 40 u Total number of women = 40 u + 40 u= 80 u (d)
Total number of men in Class A and Class B
= 56 u + 15 u
= 71 u
Answer(s)
: (a) 41; (b) 41; (c) 80; (d) 71