Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 5 : 1.
The ratio of the number of boys to the number of girls in Class B is 4 : 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 |
5 x 4 |
1 x 4 |
4 x 5 |
9 x 5 |
20 u |
4 u |
20 u |
45 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 5 and 4 = 20
Number of children in Class A
= 20 u + 4 u
= 24 u
Number of children in Class B
= 20 u + 45 u
= 65 u
Difference in the number of children in Class A and Class B
= 65 u - 24 u
= 41 u
(b)
Number of girls in Class A = 4 u
Number of girls in Class B = 45 u
Difference in the number of girls in Class A and Class B
= 45 u - 4 u
= 41 u
(c)
Number of boys in Class A = 20 uNumber of boys in Class B = 20 u Total number of boys = 20 u + 20 u= 40 u (d)
Total number of girls in Class A and Class B
= 45 u + 4 u
= 49 u
Answer(s)
: (a) 41; (b) 41; (c) 40; (d) 49