Fill in the blanks.
The ratio of adults to children is 9 : 8.
The ratio of girls to boys is 7 : 10.
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 |
9x17 = 153 u |
8x17 = 136 u |
|
Girls |
Boys |
17 |
7x8 |
10x8 |
153 u |
56 u |
80 u |
(a)
Change ratio into units.
Girls : Boys : Children
7 : 10 : 7 + 10
7 : 10 : 17
The number of children is the repeated identity.
LCM of 8 and 17 is 136.
Number of adults = 153 u
(b)
Number of girls = 56 u
(c)
Difference in the number of boys and girls
= 80 u - 56 u
= 24 u
(d)
Total number of people
= 153 u + 136 u
= 289 u
Answer(s): (a) 153; (b) 56; (c) 24; (d) 289