Fill in the blanks.
The ratio of adults to children is 9 : 2.
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 |
9x19 = 171 u |
2x19 = 38 u |
|
Boys |
Girls |
19 |
8x2 |
11x2 |
171 u |
16 u |
22 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 2 and 19 is 38.
Number of adults = 171 u
(b)
Number of boys = 16 u
(c)
Difference in the number of girls and boys
= 22 u - 16 u
= 6 u
(d)
Total number of people
= 171 u + 38 u
= 209 u
Answer(s): (a) 171; (b) 16; (c) 6; (d) 209