Fill in the blanks.
The ratio of adults to children is 3 : 1.
The ratio of girls to boys is 9 : 11.
Use LCM and find the following.
- Number of adults = _____ u
- Number of girls = _____ u
- Difference in the number of boys and girls = _____ u
- Total number of people = _____ u
Adults |
Children |
3x20 = 60 u |
1x20 = 20 u |
|
Girls |
Boys |
20 |
9x1 |
11x1 |
60 u |
9 u |
11 u |
(a)
Change ratio into units.
Girls : Boys : Children
9 : 11 : 9 + 11
9 : 11 : 20
The number of children is the repeated identity.
LCM of 1 and 20 is 20.
Number of adults = 60 u
(b)
Number of girls = 9 u
(c)
Difference in the number of boys and girls
= 11 u - 9 u
= 2 u
(d)
Total number of people
= 60 u + 20 u
= 80 u
Answer(s): (a) 60; (b) 9; (c) 2; (d) 80