Fill in the blanks.
The ratio of adults to children is 1 : 3.
The ratio of girls to boys is 3 : 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 |
1x14 = 14 u |
3x14 = 42 u |
|
Girls |
Boys |
14 |
3x3 |
11x3 |
14 u |
9 u |
33 u |
(a)
Change ratio into units.
Girls : Boys : Children
3 : 11 : 3 + 11
3 : 11 : 14
The number of children is the repeated identity.
LCM of 3 and 14 is 42.
Number of adults = 14 u
(b)
Number of girls = 9 u
(c)
Difference in the number of boys and girls
= 33 u - 9 u
= 24 u
(d)
Total number of people
= 14 u + 42 u
= 56 u
Answer(s): (a) 14; (b) 9; (c) 24; (d) 56