Fill in the blanks.
The ratio of adults to children is 8 : 3.
The ratio of girls to boys is 5 : 12.
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 |
8x17 = 136 u |
3x17 = 51 u |
|
Girls |
Boys |
17 |
5x3 |
12x3 |
136 u |
15 u |
36 u |
(a)
Change ratio into units.
Girls : Boys : Children
5 : 12 : 5 + 12
5 : 12 : 17
The number of children is the repeated identity.
LCM of 3 and 17 is 51.
Number of adults = 136 u
(b)
Number of girls = 15 u
(c)
Difference in the number of boys and girls
= 36 u - 15 u
= 21 u
(d)
Total number of people
= 136 u + 51 u
= 187 u
Answer(s): (a) 136; (b) 15; (c) 21; (d) 187