Fill in the blanks.
The ratio of adults to children is 6 : 5.
The ratio of girls to boys is 4 : 9.
Use LCM and find the following.
- Number of adults = _____ u
- Number of girls = _____ u
- Difference in the number of boys and girls = _____ u
- Total number of people = _____ u
Adults |
Children |
6x13 = 78 u |
5x13 = 65 u |
|
Girls |
Boys |
13 |
4x5 |
9x5 |
78 u |
20 u |
45 u |
(a)
Change ratio into units.
Girls : Boys : Children
4 : 9 : 4 + 9
4 : 9 : 13
The number of children is the repeated identity.
LCM of 5 and 13 is 65.
Number of adults = 78 u
(b)
Number of girls = 20 u
(c)
Difference in the number of boys and girls
= 45 u - 20 u
= 25 u
(d)
Total number of people
= 78 u + 65 u
= 143 u
Answer(s): (a) 78; (b) 20; (c) 25; (d) 143