Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 10 : 9.
The ratio of the number of girls to the number of boys in Class B is 3 : 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 |
10 x 3 |
9 x 3 |
3 x 10 |
7 x 10 |
30 u |
27 u |
30 u |
70 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 10 and 3 = 30
Number of children in Class A
= 30 u + 27 u
= 57 u
Number of children in Class B
= 30 u + 70 u
= 100 u
Difference in the number of children in Class A and Class B
= 100 u - 57 u
= 43 u
(b)
Number of boys in Class A = 27 u
Number of boys in Class B = 70 u
Difference in the number of boys in Class A and Class B
= 70 u - 27 u
= 43 u
(c)
Number of girls in Class A = 30 uNumber of girls in Class B = 30 u Total number of girls = 30 u + 30 u= 60 u (d)
Total number of boys in Class A and Class B
= 70 u + 27 u
= 97 u
Answer(s)
: (a) 43; (b) 43; (c) 60; (d) 97