Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 7 : 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 |
7 x 3 |
5 x 3 |
3 x 7 |
10 x 7 |
21 u |
15 u |
21 u |
70 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 7 and 3 = 21
Number of students in Class A
= 21 u + 15 u
= 36 u
Number of students in Class B
= 21 u + 70 u
= 91 u
Difference in the number of students in Class A and Class B
= 91 u - 36 u
= 55 u
(b)
Number of women in Class A = 15 u
Number of women in Class B = 70 u
Difference in the number of women in Class A and Class B
= 70 u - 15 u
= 55 u
(c)
Number of men in Class A = 21 uNumber of men in Class B = 21 u Total number of men = 21 u + 21 u= 42 u (d)
Total number of women in Class A and Class B
= 70 u + 15 u
= 85 u
Answer(s)
: (a) 55; (b) 55; (c) 42; (d) 85