Fill in the blanks.
The ratio of adults to children is 1 : 2.
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 |
1x17 = 17 u |
2x17 = 34 u |
|
Boys |
Girls |
17 |
5x2 |
12x2 |
17 u |
10 u |
24 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 2 and 17 is 34.
Number of adults = 17 u
(b)
Number of boys = 10 u
(c)
Difference in the number of girls and boys
= 24 u - 10 u
= 14 u
(d)
Total number of people
= 17 u + 34 u
= 51 u
Answer(s): (a) 17; (b) 10; (c) 14; (d) 51