Fill in the blanks.
The ratio of adults to children is 4 : 5.
The ratio of boys to girls is 5 : 12.
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 |
4x17 = 68 u |
5x17 = 85 u |
|
Boys |
Girls |
17 |
5x5 |
12x5 |
68 u |
25 u |
60 u |
(a)
Change ratio into units.
Boys : Girls : Children
5 : 12 : 5 + 12
5 : 12 : 17
The number of children is the repeated identity.
LCM of 5 and 17 is 85.
Number of adults = 68 u
(b)
Number of boys = 25 u
(c)
Difference in the number of girls and boys
= 60 u - 25 u
= 35 u
(d)
Total number of people
= 68 u + 85 u
= 153 u
Answer(s): (a) 68; (b) 25; (c) 35; (d) 153