Fill in the blanks.
The ratio of adults to children is 5 : 4.
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 |
5x17 = 85 u |
4x17 = 68 u |
|
Boys |
Girls |
17 |
5x4 |
12x4 |
85 u |
20 u |
48 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 4 and 17 is 68.
Number of adults = 85 u
(b)
Number of boys = 20 u
(c)
Difference in the number of girls and boys
= 48 u - 20 u
= 28 u
(d)
Total number of people
= 85 u + 68 u
= 153 u
Answer(s): (a) 85; (b) 20; (c) 28; (d) 153