Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 5 : 3.
The ratio of the number of boys to the number of girls in Class B is 6 : 7.
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 6 |
3 x 6 |
6 x 5 |
7 x 5 |
30 u |
18 u |
30 u |
35 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 5 and 6 = 30
Number of children in Class A
= 30 u + 18 u
= 48 u
Number of children in Class B
= 30 u + 35 u
= 65 u
Difference in the number of children in Class A and Class B
= 65 u - 48 u
= 17 u
(b)
Number of girls in Class A = 18 u
Number of girls in Class B = 35 u
Difference in the number of girls in Class A and Class B
= 35 u - 18 u
= 17 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
= 35 u + 18 u
= 53 u
Answer(s)
: (a) 17; (b) 17; (c) 60; (d) 53