Fill in the blanks.
The ratio of adults to children is 1 : 2.
The ratio of girls to boys is 6 : 11.
Use LCM and find the following.
- Number of adults = _____ u
- Number of girls = _____ u
- Difference in the number of boys and girls = _____ u
- Total number of people = _____ u
Adults |
Children |
1x17 = 17 u |
2x17 = 34 u |
|
Girls |
Boys |
17 |
6x2 |
11x2 |
17 u |
12 u |
22 u |
(a)
Change ratio into units.
Girls : Boys : Children
6 : 11 : 6 + 11
6 : 11 : 17
The number of children is the repeated identity.
LCM of 2 and 17 is 34.
Number of adults = 17 u
(b)
Number of girls = 12 u
(c)
Difference in the number of boys and girls
= 22 u - 12 u
= 10 u
(d)
Total number of people
= 17 u + 34 u
= 51 u
Answer(s): (a) 17; (b) 12; (c) 10; (d) 51