Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 4 : 3.
The ratio of the number of girls to the number of boys in Class B is 9 : 10.
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 |
4 x 9 |
3 x 9 |
9 x 4 |
10 x 4 |
36 u |
27 u |
36 u |
40 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 4 and 9 = 36
Number of children in Class A
= 36 u + 27 u
= 63 u
Number of children in Class B
= 36 u + 40 u
= 76 u
Difference in the number of children in Class A and Class B
= 76 u - 63 u
= 13 u
(b)
Number of boys in Class A = 27 u
Number of boys in Class B = 40 u
Difference in the number of boys in Class A and Class B
= 40 u - 27 u
= 13 u
(c)
Number of girls in Class A = 36 uNumber of girls in Class B = 36 u Total number of girls = 36 u + 36 u= 72 u (d)
Total number of boys in Class A and Class B
= 40 u + 27 u
= 67 u
Answer(s)
: (a) 13; (b) 13; (c) 72; (d) 67