Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 10 : 7.
The ratio of the number of boys to the number of girls in Class B is 9 : 10.
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 |
10 x 9 |
7 x 9 |
9 x 10 |
10 x 10 |
90 u |
63 u |
90 u |
100 u |
Change ratio into units.
The number of boys in Class A and Class B is the same.
LCM of 10 and 9 = 90
Number of children in Class A
= 90 u + 63 u
= 153 u
Number of children in Class B
= 90 u + 100 u
= 190 u
Difference in the number of children in Class A and Class B
= 190 u - 153 u
= 37 u
(b)
Number of girls in Class A = 63 u
Number of girls in Class B = 100 u
Difference in the number of girls in Class A and Class B
= 100 u - 63 u
= 37 u
(c)
Number of boys in Class A = 90 uNumber of boys in Class B = 90 u Total number of boys = 90 u + 90 u= 180 u (d)
Total number of girls in Class A and Class B
= 100 u + 63 u
= 163 u
Answer(s)
: (a) 37; (b) 37; (c) 180; (d) 163