Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 9 : 5.
The ratio of the number of women to the number of men in Class B is 5 : 7.
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 |
9 x 5 |
5 x 5 |
5 x 9 |
7 x 9 |
45 u |
25 u |
45 u |
63 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 9 and 5 = 45
Number of students in Class A
= 45 u + 25 u
= 70 u
Number of students in Class B
= 45 u + 63 u
= 108 u
Difference in the number of students in Class A and Class B
= 108 u - 70 u
= 38 u
(b)
Number of men in Class A = 25 u
Number of men in Class B = 63 u
Difference in the number of men in Class A and Class B
= 63 u - 25 u
= 38 u
(c)
Number of women in Class A = 45 uNumber of women in Class B = 45 u Total number of women = 45 u + 45 u= 90 u (d)
Total number of men in Class A and Class B
= 63 u + 25 u
= 88 u
Answer(s)
: (a) 38; (b) 38; (c) 90; (d) 88