Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 8 : 3.
The ratio of the number of girls to the number of boys in Class B is 3 : 5.
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 3 |
3 x 3 |
3 x 8 |
5 x 8 |
24 u |
9 u |
24 u |
40 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 8 and 3 = 24
Number of children in Class A
= 24 u + 9 u
= 33 u
Number of children in Class B
= 24 u + 40 u
= 64 u
Difference in the number of children in Class A and Class B
= 64 u - 33 u
= 31 u
(b)
Number of boys in Class A = 9 u
Number of boys in Class B = 40 u
Difference in the number of boys in Class A and Class B
= 40 u - 9 u
= 31 u
(c)
Number of girls in Class A = 24 uNumber of girls in Class B = 24 u Total number of girls = 24 u + 24 u= 48 u (d)
Total number of boys in Class A and Class B
= 40 u + 9 u
= 49 u
Answer(s)
: (a) 31; (b) 31; (c) 48; (d) 49