Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 4 : 1.
The ratio of the number of girls to the number of boys in Class B is 3 : 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 |
4 x 3 |
1 x 3 |
3 x 4 |
5 x 4 |
12 u |
3 u |
12 u |
20 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 4 and 3 = 12
Number of children in Class A
= 12 u + 3 u
= 15 u
Number of children in Class B
= 12 u + 20 u
= 32 u
Difference in the number of children in Class A and Class B
= 32 u - 15 u
= 17 u
(b)
Number of boys in Class A = 3 u
Number of boys in Class B = 20 u
Difference in the number of boys in Class A and Class B
= 20 u - 3 u
= 17 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
= 20 u + 3 u
= 23 u
Answer(s)
: (a) 17; (b) 17; (c) 24; (d) 23