Fill in the blanks.
The ratio of adults to children is 1 : 12.
The ratio of boys to girls is 4 : 7.
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 |
1x11 = 11 u |
12x11 = 132 u |
|
Boys |
Girls |
11 |
4x12 |
7x12 |
11 u |
48 u |
84 u |
(a)
Change ratio into units.
Boys : Girls : Children
4 : 7 : 4 + 7
4 : 7 : 11
The number of children is the repeated identity.
LCM of 12 and 11 is 132.
Number of adults = 11 u
(b)
Number of boys = 48 u
(c)
Difference in the number of girls and boys
= 84 u - 48 u
= 36 u
(d)
Total number of people
= 11 u + 132 u
= 143 u
Answer(s): (a) 11; (b) 48; (c) 36; (d) 143