Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 5 : 3.
The ratio of the number of men to the number of women in Class B is 3 : 7.
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 3 |
3 x 3 |
3 x 5 |
7 x 5 |
15 u |
9 u |
15 u |
35 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 5 and 3 = 15
Number of students in Class A
= 15 u + 9 u
= 24 u
Number of students in Class B
= 15 u + 35 u
= 50 u
Difference in the number of students in Class A and Class B
= 50 u - 24 u
= 26 u
(b)
Number of women in Class A = 9 u
Number of women in Class B = 35 u
Difference in the number of women in Class A and Class B
= 35 u - 9 u
= 26 u
(c)
Number of men in Class A = 15 uNumber of men in Class B = 15 u Total number of men = 15 u + 15 u= 30 u (d)
Total number of women in Class A and Class B
= 35 u + 9 u
= 44 u
Answer(s)
: (a) 26; (b) 26; (c) 30; (d) 44