Fill in the blanks.
The ratio of adults to children is 3 : 1.
The ratio of boys to girls is 7 : 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 |
3x16 = 48 u |
1x16 = 16 u |
|
Boys |
Girls |
16 |
7x1 |
9x1 |
48 u |
7 u |
9 u |
(a)
Change ratio into units.
Boys : Girls : Children
7 : 9 : 7 + 9
7 : 9 : 16
The number of children is the repeated identity.
LCM of 1 and 16 is 16.
Number of adults = 48 u
(b)
Number of boys = 7 u
(c)
Difference in the number of girls and boys
= 9 u - 7 u
= 2 u
(d)
Total number of people
= 48 u + 16 u
= 64 u
Answer(s): (a) 48; (b) 7; (c) 2; (d) 64