Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 8 : 5.
The ratio of the number of girls to the number of boys in Class B is 5 : 6.
The number of girls is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of boys in Class A and Class B = _____ u
- Total number of girls = _____ u
- Total number of boys = _____ u
(a)
Class A |
Class B |
Girls |
Boys |
Girls |
Boys |
8 x 5 |
5 x 5 |
5 x 8 |
6 x 8 |
40 u |
25 u |
40 u |
48 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 8 and 5 = 40
Number of children in Class A
= 40 u + 25 u
= 65 u
Number of children in Class B
= 40 u + 48 u
= 88 u
Difference in the number of children in Class A and Class B
= 88 u - 65 u
= 23 u
(b)
Number of boys in Class A = 25 u
Number of boys in Class B = 48 u
Difference in the number of boys in Class A and Class B
= 48 u - 25 u
= 23 u
(c)
Number of girls in Class A = 40 uNumber of girls in Class B = 40 u Total number of girls = 40 u + 40 u= 80 u (d)
Total number of boys in Class A and Class B
= 48 u + 25 u
= 73 u
Answer(s)
: (a) 23; (b) 23; (c) 80; (d) 73