Fill in the blanks in whole numbers or fractions.
The ratio of adults to children is 5 : 12.
The ratio of boys to girls is 2 : 1.
The number of women to men is 5 : 2.
Let the number of children be 12 u.
- Number of adults = _____ u
- Number of boys = _____ u
- Number of men = _____ u
- Total number of people = _____ u
Adults |
Children |
5 u |
12 u |
Women |
Men |
Boys |
Girls |
5 |
2 |
2 |
1 |
|
27 x 5 u = 137 u |
23 x 12 u = 8 u |
|
(a)
Change ratio into units.
Boys : Girls : Children
2 : 1 : 2 + 1
2 : 1 : 3
Number of adults = 5 u
(b)
Number of children = 12 u
Fraction of the children that were boys =
23 Number of boys
=
23 x 12 u
= 8 u
(c)
Number of adults = 5 u
Fraction of the adults that were men =
27 Number of men
=
27 x 5 u
= 1
37 u
(d)
Total number of people
= 5 u + 12 u
= 17 u
Answer(s): (a) 5; (b) 8; (c) 1
37; (d) 17