Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 5 : 2.
The ratio of the number of women to the number of men in Class B is 7 : 8.
The number of women is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of men in Class A and Class B = _____ u
- Total number of women = _____ u
- Total number of men = _____ u
(a)
Class A |
Class B |
Women |
Men |
Women |
Men |
5 x 7 |
2 x 7 |
7 x 5 |
8 x 5 |
35 u |
14 u |
35 u |
40 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 5 and 7 = 35
Number of students in Class A
= 35 u + 14 u
= 49 u
Number of students in Class B
= 35 u + 40 u
= 75 u
Difference in the number of students in Class A and Class B
= 75 u - 49 u
= 26 u
(b)
Number of men in Class A = 14 u
Number of men in Class B = 40 u
Difference in the number of men in Class A and Class B
= 40 u - 14 u
= 26 u
(c)
Number of women in Class A = 35 uNumber of women in Class B = 35 u Total number of women = 35 u + 35 u= 70 u (d)
Total number of men in Class A and Class B
= 40 u + 14 u
= 54 u
Answer(s)
: (a) 26; (b) 26; (c) 70; (d) 54