Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 8 : 7.
The ratio of the number of girls to the number of boys in Class B is 7 : 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 |
8 x 7 |
7 x 7 |
7 x 8 |
10 x 8 |
56 u |
49 u |
56 u |
80 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 8 and 7 = 56
Number of children in Class A
= 56 u + 49 u
= 105 u
Number of children in Class B
= 56 u + 80 u
= 136 u
Difference in the number of children in Class A and Class B
= 136 u - 105 u
= 31 u
(b)
Number of boys in Class A = 49 u
Number of boys in Class B = 80 u
Difference in the number of boys in Class A and Class B
= 80 u - 49 u
= 31 u
(c)
Number of girls in Class A = 56 uNumber of girls in Class B = 56 u Total number of girls = 56 u + 56 u= 112 u (d)
Total number of boys in Class A and Class B
= 80 u + 49 u
= 129 u
Answer(s)
: (a) 31; (b) 31; (c) 112; (d) 129