Fill in the blanks.
The ratio of the number of men to the number of women in Class A is 8 : 5.
The ratio of the number of men to the number of women in Class B is 7 : 10.
The number of men is the same.

1. Difference in the number of children in Class A and Class B = _____ u
2. Difference in the number of women in Class A and Class B = _____ u
3. Total number of men = _____ u
4. Total number of women = _____ u

(a)

Class A		Class B
Men	Women	Men	Women
8 x 7	5 x 7	7 x 8	10 x 8
56 u	35 u	56 u	80 u

Change ratio into units.

The number of men in Class A and Class B is the same.
LCM of 8 and 7 = 56

Number of students in Class A
= 56 u + 35 u
= 91 u

Number of students in Class B
= 56 u + 80 u
= 136 u

Difference in the number of students in Class A and Class B
= 136 u - 91 u
= 45 u

(b)
Number of women in Class A = 35 u
Number of women in Class B = 80 u

Difference in the number of women in Class A and Class B
= 80 u - 35 u
= 45 u

(c)
Number of men in Class A = 56 u
Number of men in Class B = 56 u

Total number of men
= 56 u + 56 u
= 112 u

(d)
Total number of women in Class A and Class B
= 80 u + 35 u
= 115 u

Answer(s): (a) 45; (b) 45; (c) 112; (d) 115