Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 1.
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 |
3 x 8 |
1 x 8 |
8 x 3 |
9 x 3 |
24 u |
8 u |
24 u |
27 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 3 and 8 = 24
Number of children in Class A
= 24 u + 8 u
= 32 u
Number of children in Class B
= 24 u + 27 u
= 51 u
Difference in the number of children in Class A and Class B
= 51 u - 32 u
= 19 u
(b)
Number of girls in Class A = 8 u
Number of girls in Class B = 27 u
Difference in the number of girls in Class A and Class B
= 27 u - 8 u
= 19 u
(c)
Number of boys in Class A = 24 uNumber of boys in Class B = 24 u Total number of boys = 24 u + 24 u= 48 u (d)
Total number of girls in Class A and Class B
= 27 u + 8 u
= 35 u
Answer(s)
: (a) 19; (b) 19; (c) 48; (d) 35