Fill in the blanks.
The ratio of adults to children is 6 : 11.
The ratio of boys to girls is 8 : 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 |
6x19 = 114 u |
11x19 = 209 u |
|
Boys |
Girls |
19 |
8x11 |
11x11 |
114 u |
88 u |
121 u |
(a)
Change ratio into units.
Boys : Girls : Children
8 : 11 : 8 + 11
8 : 11 : 19
The number of children is the repeated identity.
LCM of 11 and 19 is 209.
Number of adults = 114 u
(b)
Number of boys = 88 u
(c)
Difference in the number of girls and boys
= 121 u - 88 u
= 33 u
(d)
Total number of people
= 114 u + 209 u
= 323 u
Answer(s): (a) 114; (b) 88; (c) 33; (d) 323