Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 10 : 3.
The ratio of the number of boys to the number of girls in Class B is 3 : 5.
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 |
10 x 3 |
3 x 3 |
3 x 10 |
5 x 10 |
30 u |
9 u |
30 u |
50 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 10 and 3 = 30
Number of children in Class A
= 30 u + 9 u
= 39 u
Number of children in Class B
= 30 u + 50 u
= 80 u
Difference in the number of children in Class A and Class B
= 80 u - 39 u
= 41 u
(b)
Number of girls in Class A = 9 u
Number of girls in Class B = 50 u
Difference in the number of girls in Class A and Class B
= 50 u - 9 u
= 41 u
(c)
Number of boys in Class A = 30 uNumber of boys in Class B = 30 u Total number of boys = 30 u + 30 u= 60 u (d)
Total number of girls in Class A and Class B
= 50 u + 9 u
= 59 u
Answer(s)
: (a) 41; (b) 41; (c) 60; (d) 59