Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 2 : 1.
The ratio of the number of men to the number of women in Class B is 7 : 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 |
2 x 7 |
1 x 7 |
7 x 2 |
10 x 2 |
14 u |
7 u |
14 u |
20 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 2 and 7 = 14
Number of students in Class A
= 14 u + 7 u
= 21 u
Number of students in Class B
= 14 u + 20 u
= 34 u
Difference in the number of students in Class A and Class B
= 34 u - 21 u
= 13 u
(b)
Number of women in Class A = 7 u
Number of women in Class B = 20 u
Difference in the number of women in Class A and Class B
= 20 u - 7 u
= 13 u
(c)
Number of men in Class A = 14 uNumber of men in Class B = 14 u Total number of men = 14 u + 14 u= 28 u (d)
Total number of women in Class A and Class B
= 20 u + 7 u
= 27 u
Answer(s)
: (a) 13; (b) 13; (c) 28; (d) 27