Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 8 : 5.
The ratio of the number of boys to the number of girls in Class B is 7 : 8.
The number of boys is the same.
- Number of boys in Class A = _____ u
- Number of girls in Class B = _____ u
- Number of children in Class B = _____ u
- Total number of children = _____ u
Class A |
Class B |
Boys |
Girls |
Boys |
Girls |
8 x 7 |
5 x 7 |
7 x 8 |
8 x 8 |
56 u |
35 u |
56 u |
64 u |
(a)
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 8 and 7 = 56
Class A
Boys : Girls
8 : 5
(x7) 56 : 35
Class B
Boys : Girls
7 : 8
(x8) 56 : 64
Number of boys in Class A = 56 u
(b)
Number of girls in Class B = 64 u
(c)
Number of children in Class B
= 56 u + 64 u
= 120 u
(d)
Number of children in Class A
= 56 u + 35 u
= 91 u
Total number of children
= 120 u + 91 u
= 211 u
Answer(s): (a) 56; (b) 64; (c) 120; (d) 211