Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 3 : 1.
The ratio of the number of girls to the number of boys in Class B is 8 : 9.
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 |
3 x 8 |
1 x 8 |
8 x 3 |
9 x 3 |
24 u |
8 u |
24 u |
27 u |
(a)
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 3 and 8 = 24
Class A
Girls : Boys
3 : 1
(x8) 24 : 8
Class B
Girls : Boys
8 : 9
(x3) 24 : 27
Number of girls in Class A = 24 u
(b)
Number of boys in Class B = 27 u
(c)
Number of children in Class B
= 24 u + 27 u
= 51 u
(d)
Number of children in Class A
= 24 u + 8 u
= 32 u
Total number of children
= 51 u + 32 u
= 83 u
Answer(s): (a) 24; (b) 27; (c) 51; (d) 83