Fill in the blanks.
The ratio of adults to children is 3 : 8.
The ratio of boys to girls is 8 : 9.
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 |
3x17 = 51 u |
8x17 = 136 u |
|
Boys |
Girls |
17 |
8x8 |
9x8 |
51 u |
64 u |
72 u |
(a)
Change ratio into units.
Boys : Girls : Children
8 : 9 : 8 + 9
8 : 9 : 17
The number of children is the repeated identity.
LCM of 8 and 17 is 136.
Number of adults = 51 u
(b)
Number of boys = 64 u
(c)
Difference in the number of girls and boys
= 72 u - 64 u
= 8 u
(d)
Total number of people
= 51 u + 136 u
= 187 u
Answer(s): (a) 51; (b) 64; (c) 8; (d) 187