Fill in the blanks.
The ratio of adults to children is 4 : 5.
The ratio of boys to girls is 2 : 9.
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 |
4x11 = 44 u |
5x11 = 55 u |
|
Boys |
Girls |
11 |
2x5 |
9x5 |
44 u |
10 u |
45 u |
(a)
Change ratio into units.
Boys : Girls : Children
2 : 9 : 2 + 9
2 : 9 : 11
The number of children is the repeated identity.
LCM of 5 and 11 is 55.
Number of adults = 44 u
(b)
Number of boys = 10 u
(c)
Difference in the number of girls and boys
= 45 u - 10 u
= 35 u
(d)
Total number of people
= 44 u + 55 u
= 99 u
Answer(s): (a) 44; (b) 10; (c) 35; (d) 99