Fill in the blanks.
The ratio of adults to children is 7 : 5.
The ratio of boys to girls is 7 : 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 |
7x18 = 126 u |
5x18 = 90 u |
|
Boys |
Girls |
18 |
7x5 |
11x5 |
126 u |
35 u |
55 u |
(a)
Change ratio into units.
Boys : Girls : Children
7 : 11 : 7 + 11
7 : 11 : 18
The number of children is the repeated identity.
LCM of 5 and 18 is 90.
Number of adults = 126 u
(b)
Number of boys = 35 u
(c)
Difference in the number of girls and boys
= 55 u - 35 u
= 20 u
(d)
Total number of people
= 126 u + 90 u
= 216 u
Answer(s): (a) 126; (b) 35; (c) 20; (d) 216