Fill in the blanks.
The ratio of adults to children is 7 : 6.
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 |
7x17 = 119 u |
6x17 = 102 u |
|
Boys |
Girls |
17 |
5x6 |
12x6 |
119 u |
30 u |
72 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 6 and 17 is 102.
Number of adults = 119 u
(b)
Number of boys = 30 u
(c)
Difference in the number of girls and boys
= 72 u - 30 u
= 42 u
(d)
Total number of people
= 119 u + 102 u
= 221 u
Answer(s): (a) 119; (b) 30; (c) 42; (d) 221