Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 2 : 1.
The ratio of the number of girls to the number of boys in Class B is 3 : 4.
The number of girls is the same.
- Number of girls in Class A = _____ u
- Number of boys in Class B = _____ u
- Number of children in Class B = _____ u
- Total number of children = _____ u
Class A |
Class B |
Girls |
Boys |
Girls |
Boys |
2 x 3 |
1 x 3 |
3 x 2 |
4 x 2 |
6 u |
3 u |
6 u |
8 u |
(a)
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 2 and 3 = 6
Class A
Girls : Boys
2 : 1
(x3) 6 : 3
Class B
Girls : Boys
3 : 4
(x2) 6 : 8
Number of girls in Class A = 6 u
(b)
Number of boys in Class B = 8 u
(c)
Number of children in Class B
= 6 u + 8 u
= 14 u
(d)
Number of children in Class A
= 6 u + 3 u
= 9 u
Total number of children
= 14 u + 9 u
= 23 u
Answer(s): (a) 6; (b) 8; (c) 14; (d) 23