PSLEA caterer prepares fishballs for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 7 : 9. Among the adults, the ratio of the number of women to the men is 5 : 4. A total of 440 fishballs are prepared so that each child gets 4 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 |
7
|
9
|
16
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
5
|
4
|
|
Number |
7 u |
5 u |
4 u |
16 u |
Value |
4 |
3 |
3 |
|
Total value |
28 u |
15 u |
12 u |
55 u |
(a)
Fraction of the people that are adults =
916 Fraction of the adults that are women =
59 Fraction of the people that are men
=
916 x
59 =
516 (b)
Total number of fishballs
= (7 u x 4) + (9 u x 3)
= 28 u + 27 u
= 55 u
55 u = 440
1 u = 440 ÷ 55 = 8
Number of children
= 7 u
= 7 x 8
= 56
Answer(s): (a)
516; (b) 56