Fill in the blanks.
The ratio of adults to children is 8 : 3.
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 |
8x20 = 160 u |
3x20 = 60 u |
|
Girls |
Boys |
20 |
9x3 |
11x3 |
160 u |
27 u |
33 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 3 and 20 is 60.
Number of adults = 160 u
(b)
Number of girls = 27 u
(c)
Difference in the number of boys and girls
= 33 u - 27 u
= 6 u
(d)
Total number of people
= 160 u + 60 u
= 220 u
Answer(s): (a) 160; (b) 27; (c) 6; (d) 220