PSLEA caterer prepares fishballs for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 1 : 4. Among the adults, the ratio of the number of women to the men is 1 : 3. A total of 36 fishballs are prepared so that each child gets 4 fishballs and each adult gets 2.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
1
|
4
|
5
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
1
|
3
|
|
Number |
1 u |
1 u |
3 u |
5 u |
Value |
4 |
2 |
2 |
|
Total value |
4 u |
2 u |
6 u |
12 u |
(a)
Fraction of the people that are adults =
45 Fraction of the adults that are women =
14 Fraction of the people that are men
=
45 x
14 =
15 (b)
Total number of fishballs
= (1 u x 4) + (4 u x 2)
= 4 u + 8 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of children
= 1 u
= 1 x 3
= 3
Answer(s): (a)
15; (b) 3