Fill in the blanks.
The ratio of adults to children is 5 : 9.
The ratio of boys to girls is 5 : 11.
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 |
5x16 = 80 u |
9x16 = 144 u |
|
Boys |
Girls |
16 |
5x9 |
11x9 |
80 u |
45 u |
99 u |
(a)
Change ratio into units.
Boys : Girls : Children
5 : 11 : 5 + 11
5 : 11 : 16
The number of children is the repeated identity.
LCM of 9 and 16 is 144.
Number of adults = 80 u
(b)
Number of boys = 45 u
(c)
Difference in the number of girls and boys
= 99 u - 45 u
= 54 u
(d)
Total number of people
= 80 u + 144 u
= 224 u
Answer(s): (a) 80; (b) 45; (c) 54; (d) 224