Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 5 : 2.
The ratio of the number of girls to the number of boys in Class B is 2 : 7.
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 |
5 x 2 |
2 x 2 |
2 x 5 |
7 x 5 |
10 u |
4 u |
10 u |
35 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 5 and 2 = 10
Number of children in Class A
= 10 u + 4 u
= 14 u
Number of children in Class B
= 10 u + 35 u
= 45 u
Difference in the number of children in Class A and Class B
= 45 u - 14 u
= 31 u
(b)
Number of boys in Class A = 4 u
Number of boys in Class B = 35 u
Difference in the number of boys in Class A and Class B
= 35 u - 4 u
= 31 u
(c)
Number of girls in Class A = 10 uNumber of girls in Class B = 10 u Total number of girls = 10 u + 10 u= 20 u (d)
Total number of boys in Class A and Class B
= 35 u + 4 u
= 39 u
Answer(s)
: (a) 31; (b) 31; (c) 20; (d) 39