Fill in the blanks.
The ratio of adults to children is 7 : 9.
The ratio of boys to girls is 3 : 4.
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 |
7x7 = 49 u |
9x7 = 63 u |
|
Boys |
Girls |
7 |
3x9 |
4x9 |
49 u |
27 u |
36 u |
(a)
Change ratio into units.
Boys : Girls : Children
3 : 4 : 3 + 4
3 : 4 : 7
The number of children is the repeated identity.
LCM of 9 and 7 is 63.
Number of adults = 49 u
(b)
Number of boys = 27 u
(c)
Difference in the number of girls and boys
= 36 u - 27 u
= 9 u
(d)
Total number of people
= 49 u + 63 u
= 112 u
Answer(s): (a) 49; (b) 27; (c) 9; (d) 112