Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 2.
The ratio of the number of men to the number of women in Class B is 4 : 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 4 |
2 x 4 |
4 x 5 |
9 x 5 |
20 u |
8 u |
20 u |
45 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 4 = 20
Number of students in Class A
= 20 u + 8 u
= 28 u
Number of students in Class B
= 20 u + 45 u
= 65 u
Difference in the number of students in Class A and Class B
= 65 u - 28 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 = 20 uNumber of men in Class B = 20 u Total number of men = 20 u + 20 u= 40 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) 40; (d) 53