Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 3 : 2.
The ratio of the number of girls to the number of boys in Class B is 4 : 5.
The number of girls is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of boys in Class A and Class B = _____ u
- Total number of girls = _____ u
- Total number of boys = _____ u
(a)
Class A |
Class B |
Girls |
Boys |
Girls |
Boys |
3 x 4 |
2 x 4 |
4 x 3 |
5 x 3 |
12 u |
8 u |
12 u |
15 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 3 and 4 = 12
Number of children in Class A
= 12 u + 8 u
= 20 u
Number of children in Class B
= 12 u + 15 u
= 27 u
Difference in the number of children in Class A and Class B
= 27 u - 20 u
= 7 u
(b)
Number of boys in Class A = 8 u
Number of boys in Class B = 15 u
Difference in the number of boys in Class A and Class B
= 15 u - 8 u
= 7 u
(c)
Number of girls in Class A = 12 uNumber of girls in Class B = 12 u Total number of girls = 12 u + 12 u= 24 u (d)
Total number of boys in Class A and Class B
= 15 u + 8 u
= 23 u
Answer(s)
: (a) 7; (b) 7; (c) 24; (d) 23