Fill in the blanks.
The ratio of adults to children is 5 : 9.
The ratio of boys to girls is 3 : 11.
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 |
5x14 = 70 u |
9x14 = 126 u |
|
Boys |
Girls |
14 |
3x9 |
11x9 |
70 u |
27 u |
99 u |
(a)
Change ratio into units.
Boys : Girls : Children
3 : 11 : 3 + 11
3 : 11 : 14
The number of children is the repeated identity.
LCM of 9 and 14 is 126.
Number of adults = 70 u
(b)
Number of boys = 27 u
(c)
Difference in the number of girls and boys
= 99 u - 27 u
= 72 u
(d)
Total number of people
= 70 u + 126 u
= 196 u
Answer(s): (a) 70; (b) 27; (c) 72; (d) 196