Fill in the blanks.
The ratio of adults to children is 8 : 3.
The ratio of boys to girls is 1 : 12.
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 |
8x13 = 104 u |
3x13 = 39 u |
|
Boys |
Girls |
13 |
1x3 |
12x3 |
104 u |
3 u |
36 u |
(a)
Change ratio into units.
Boys : Girls : Children
1 : 12 : 1 + 12
1 : 12 : 13
The number of children is the repeated identity.
LCM of 3 and 13 is 39.
Number of adults = 104 u
(b)
Number of boys = 3 u
(c)
Difference in the number of girls and boys
= 36 u - 3 u
= 33 u
(d)
Total number of people
= 104 u + 39 u
= 143 u
Answer(s): (a) 104; (b) 3; (c) 33; (d) 143