Fill in the blanks.
The ratio of adults to children is 5 : 8.
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 |
5x13 = 65 u |
8x13 = 104 u |
|
Boys |
Girls |
13 |
1x8 |
12x8 |
65 u |
8 u |
96 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 8 and 13 is 104.
Number of adults = 65 u
(b)
Number of boys = 8 u
(c)
Difference in the number of girls and boys
= 96 u - 8 u
= 88 u
(d)
Total number of people
= 65 u + 104 u
= 169 u
Answer(s): (a) 65; (b) 8; (c) 88; (d) 169