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 8 : 9. Among the adults, the ratio of the number of women to the men is 4 : 5. A total of 603 fishballs are prepared so that each child gets 5 fishballs and each adult gets 3.
- 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 |
8
|
9
|
17
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
4
|
5
|
|
Number |
8 u |
4 u |
5 u |
17 u |
Value |
5 |
3 |
3 |
|
Total value |
40 u |
12 u |
15 u |
67 u |
(a)
Fraction of the people that are adults =
917 Fraction of the adults that are women =
49 Fraction of the people that are men
=
917 x
49 =
417 (b)
Total number of fishballs
= (8 u x 5) + (9 u x 3)
= 40 u + 27 u
= 67 u
67 u = 603
1 u = 603 ÷ 67 = 9
Number of children
= 8 u
= 8 x 9
= 72
Answer(s): (a)
417; (b) 72