Fill in the blanks.
The ratio of adults to children is 1 : 6.
The ratio of girls to boys is 8 : 9.
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 |
6x17 = 102 u |
|
Girls |
Boys |
17 |
8x6 |
9x6 |
17 u |
48 u |
54 u |
(a)
Change ratio into units.
Girls : Boys : Children
8 : 9 : 8 + 9
8 : 9 : 17
The number of children is the repeated identity.
LCM of 6 and 17 is 102.
Number of adults = 17 u
(b)
Number of girls = 48 u
(c)
Difference in the number of boys and girls
= 54 u - 48 u
= 6 u
(d)
Total number of people
= 17 u + 102 u
= 119 u
Answer(s): (a) 17; (b) 48; (c) 6; (d) 119