Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 2.
The ratio of the number of boys to the number of girls in Class B is 5 : 9.
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 |
3 x 5 |
2 x 5 |
5 x 3 |
9 x 3 |
15 u |
10 u |
15 u |
27 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 3 and 5 = 15
Number of children in Class A
= 15 u + 10 u
= 25 u
Number of children in Class B
= 15 u + 27 u
= 42 u
Difference in the number of children in Class A and Class B
= 42 u - 25 u
= 17 u
(b)
Number of girls in Class A = 10 u
Number of girls in Class B = 27 u
Difference in the number of girls in Class A and Class B
= 27 u - 10 u
= 17 u
(c)
Number of boys in Class A = 15 uNumber of boys in Class B = 15 u Total number of boys = 15 u + 15 u= 30 u (d)
Total number of girls in Class A and Class B
= 27 u + 10 u
= 37 u
Answer(s)
: (a) 17; (b) 17; (c) 30; (d) 37