Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 8 : 5.
The ratio of the number of men to the number of women in Class B is 3 : 10.
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 |
8 x 3 |
5 x 3 |
3 x 8 |
10 x 8 |
24 u |
15 u |
24 u |
80 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 8 and 3 = 24
Number of students in Class A
= 24 u + 15 u
= 39 u
Number of students in Class B
= 24 u + 80 u
= 104 u
Difference in the number of students in Class A and Class B
= 104 u - 39 u
= 65 u
(b)
Number of women in Class A = 15 u
Number of women in Class B = 80 u
Difference in the number of women in Class A and Class B
= 80 u - 15 u
= 65 u
(c)
Number of men in Class A = 24 uNumber of men in Class B = 24 u Total number of men = 24 u + 24 u= 48 u (d)
Total number of women in Class A and Class B
= 80 u + 15 u
= 95 u
Answer(s)
: (a) 65; (b) 65; (c) 48; (d) 95