Fill in the blanks.
The ratio of adults to children is 3 : 7.
The ratio of boys to girls is 6 : 11.
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 |
3x17 = 51 u |
7x17 = 119 u |
|
Boys |
Girls |
17 |
6x7 |
11x7 |
51 u |
42 u |
77 u |
(a)
Change ratio into units.
Boys : Girls : Children
6 : 11 : 6 + 11
6 : 11 : 17
The number of children is the repeated identity.
LCM of 7 and 17 is 119.
Number of adults = 51 u
(b)
Number of boys = 42 u
(c)
Difference in the number of girls and boys
= 77 u - 42 u
= 35 u
(d)
Total number of people
= 51 u + 119 u
= 170 u
Answer(s): (a) 51; (b) 42; (c) 35; (d) 170