Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 3 : 1.
The ratio of the number of girls to the number of boys in Class B is 2 : 9.
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 2 |
1 x 2 |
2 x 3 |
9 x 3 |
6 u |
2 u |
6 u |
27 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 3 and 2 = 6
Number of children in Class A
= 6 u + 2 u
= 8 u
Number of children in Class B
= 6 u + 27 u
= 33 u
Difference in the number of children in Class A and Class B
= 33 u - 8 u
= 25 u
(b)
Number of boys in Class A = 2 u
Number of boys in Class B = 27 u
Difference in the number of boys in Class A and Class B
= 27 u - 2 u
= 25 u
(c)
Number of girls in Class A = 6 uNumber of girls in Class B = 6 u Total number of girls = 6 u + 6 u= 12 u (d)
Total number of boys in Class A and Class B
= 27 u + 2 u
= 29 u
Answer(s)
: (a) 25; (b) 25; (c) 12; (d) 29