Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 10 : 7.
The ratio of the number of women to the number of men in Class B is 3 : 8.
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 |
10 x 3 |
7 x 3 |
3 x 10 |
8 x 10 |
30 u |
21 u |
30 u |
80 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 10 and 3 = 30
Number of students in Class A
= 30 u + 21 u
= 51 u
Number of students in Class B
= 30 u + 80 u
= 110 u
Difference in the number of students in Class A and Class B
= 110 u - 51 u
= 59 u
(b)
Number of men in Class A = 21 u
Number of men in Class B = 80 u
Difference in the number of men in Class A and Class B
= 80 u - 21 u
= 59 u
(c)
Number of women in Class A = 30 uNumber of women in Class B = 30 u Total number of women = 30 u + 30 u= 60 u (d)
Total number of men in Class A and Class B
= 80 u + 21 u
= 101 u
Answer(s)
: (a) 59; (b) 59; (c) 60; (d) 101