Fill in the blanks.
The ratio of adults to children is 8 : 7.
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 |
8x18 = 144 u |
7x18 = 126 u |
|
Boys |
Girls |
18 |
7x7 |
11x7 |
144 u |
49 u |
77 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 7 and 18 is 126.
Number of adults = 144 u
(b)
Number of boys = 49 u
(c)
Difference in the number of girls and boys
= 77 u - 49 u
= 28 u
(d)
Total number of people
= 144 u + 126 u
= 270 u
Answer(s): (a) 144; (b) 49; (c) 28; (d) 270