Fill in the blanks.
The ratio of adults to children is 7 : 8.
The ratio of boys to girls is 2 : 3.
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 |
7x5 = 35 u |
8x5 = 40 u |
|
Boys |
Girls |
5 |
2x8 |
3x8 |
35 u |
16 u |
24 u |
(a)
Change ratio into units.
Boys : Girls : Children
2 : 3 : 2 + 3
2 : 3 : 5
The number of children is the repeated identity.
LCM of 8 and 5 is 40.
Number of adults = 35 u
(b)
Number of boys = 16 u
(c)
Difference in the number of girls and boys
= 24 u - 16 u
= 8 u
(d)
Total number of people
= 35 u + 40 u
= 75 u
Answer(s): (a) 35; (b) 16; (c) 8; (d) 75