Fill in the blanks.
The ratio of adults to children is 7 : 9.
The ratio of boys to girls is 3 : 5.
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 |
7x8 = 56 u |
9x8 = 72 u |
|
Boys |
Girls |
8 |
3x9 |
5x9 |
56 u |
27 u |
45 u |
(a)
Change ratio into units.
Boys : Girls : Children
3 : 5 : 3 + 5
3 : 5 : 8
The number of children is the repeated identity.
LCM of 9 and 8 is 72.
Number of adults = 56 u
(b)
Number of boys = 27 u
(c)
Difference in the number of girls and boys
= 45 u - 27 u
= 18 u
(d)
Total number of people
= 56 u + 72 u
= 128 u
Answer(s): (a) 56; (b) 27; (c) 18; (d) 128