Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 7 : 5.
The ratio of the number of boys to the number of girls in Class B is 8 : 9.
The number of boys is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of girls in Class A and Class B = _____ u
- Total number of boys = _____ u
- Total number of girls = _____ u
(a)
Class A |
Class B |
Boys |
Girls |
Boys |
Girls |
7 x 8 |
5 x 8 |
8 x 7 |
9 x 7 |
56 u |
40 u |
56 u |
63 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 7 and 8 = 56
Number of children in Class A
= 56 u + 40 u
= 96 u
Number of children in Class B
= 56 u + 63 u
= 119 u
Difference in the number of children in Class A and Class B
= 119 u - 96 u
= 23 u
(b)
Number of girls in Class A = 40 u
Number of girls in Class B = 63 u
Difference in the number of girls in Class A and Class B
= 63 u - 40 u
= 23 u
(c)
Number of boys in Class A = 56 uNumber of boys in Class B = 56 u Total number of boys = 56 u + 56 u= 112 u (d)
Total number of girls in Class A and Class B
= 63 u + 40 u
= 103 u
Answer(s)
: (a) 23; (b) 23; (c) 112; (d) 103