Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 5 : 4.
The ratio of the number of women to the number of men in Class B is 7 : 10.
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 |
4 x 7 |
7 x 5 |
10 x 5 |
35 u |
28 u |
35 u |
50 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 + 28 u
= 63 u
Number of students in Class B
= 35 u + 50 u
= 85 u
Difference in the number of students in Class A and Class B
= 85 u - 63 u
= 22 u
(b)
Number of men in Class A = 28 u
Number of men in Class B = 50 u
Difference in the number of men in Class A and Class B
= 50 u - 28 u
= 22 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
= 50 u + 28 u
= 78 u
Answer(s)
: (a) 22; (b) 22; (c) 70; (d) 78