Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 4.
The ratio of the number of men to the number of women in Class B is 2 : 9.
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 |
5 x 2 |
4 x 2 |
2 x 5 |
9 x 5 |
10 u |
8 u |
10 u |
45 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 2 = 10
Number of students in Class A
= 10 u + 8 u
= 18 u
Number of students in Class B
= 10 u + 45 u
= 55 u
Difference in the number of students in Class A and Class B
= 55 u - 18 u
= 37 u
(b)
Number of women in Class A = 8 u
Number of women in Class B = 45 u
Difference in the number of women in Class A and Class B
= 45 u - 8 u
= 37 u
(c)
Number of men in Class A = 10 uNumber of men in Class B = 10 u Total number of men = 10 u + 10 u= 20 u (d)
Total number of women in Class A and Class B
= 45 u + 8 u
= 53 u
Answer(s)
: (a) 37; (b) 37; (c) 20; (d) 53