Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 8 : 7.
The ratio of the number of men to the number of women in Class B is 5 : 9.
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 |
8 x 5 |
7 x 5 |
5 x 8 |
9 x 8 |
40 u |
35 u |
40 u |
72 u |
Change ratio into units.
The number of men in Class A and Class B is the same.
LCM of 8 and 5 = 40
Number of students in Class A
= 40 u + 35 u
= 75 u
Number of students in Class B
= 40 u + 72 u
= 112 u
Difference in the number of students in Class A and Class B
= 112 u - 75 u
= 37 u
(b)
Number of women in Class A = 35 u
Number of women in Class B = 72 u
Difference in the number of women in Class A and Class B
= 72 u - 35 u
= 37 u
(c)
Number of men in Class A = 40 uNumber of men in Class B = 40 u Total number of men = 40 u + 40 u= 80 u (d)
Total number of women in Class A and Class B
= 72 u + 35 u
= 107 u
Answer(s)
: (a) 37; (b) 37; (c) 80; (d) 107