Fill in the blanks.
The ratio of adults to children is 9 : 11.
The ratio of boys to girls is 2 : 3.
Use LCM and find the following.
- Number of adults = _____ u
- Number of boys = _____ u
- Difference in the number of girls and boys = _____ u
- Total number of people = _____ u
Adults |
Children |
9x5 = 45 u |
11x5 = 55 u |
|
Boys |
Girls |
5 |
2x11 |
3x11 |
45 u |
22 u |
33 u |
(a)
Change ratio into units.
Boys : Girls : Children
2 : 3 : 2 + 3
2 : 3 : 5
The number of children is the repeated identity.
LCM of 11 and 5 is 55.
Number of adults = 45 u
(b)
Number of boys = 22 u
(c)
Difference in the number of girls and boys
= 33 u - 22 u
= 11 u
(d)
Total number of people
= 45 u + 55 u
= 100 u
Answer(s): (a) 45; (b) 22; (c) 11; (d) 100