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 : 8.
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 |
8 x 3 |
3 x 3 |
3 x 8 |
8 x 8 |
24 u |
9 u |
24 u |
64 u |
(a)
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 8 and 3 = 24
Class A
Girls : Boys
8 : 3
(x3) 24 : 9
Class B
Girls : Boys
3 : 8
(x8) 24 : 64
Number of girls in Class A = 24 u
(b)
Number of boys in Class B = 64 u
(c)
Number of children in Class B
= 24 u + 64 u
= 88 u
(d)
Number of children in Class A
= 24 u + 9 u
= 33 u
Total number of children
= 88 u + 33 u
= 121 u
Answer(s): (a) 24; (b) 64; (c) 88; (d) 121