PSLE A caterer prepares hot dogs for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 4 : 5. Among the adults, the ratio of the number of men to the women is 3 : 2. A total of 248 hot dogs are prepared so that each child gets 4 hot dogs and each adult gets 3.
- What fraction of the people attending the party are women?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
4
|
5
|
9
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
3
|
2
|
|
Number |
4 u |
3 u |
2 u |
9 u |
Value |
4 |
3 |
3 |
|
Total value |
16 u |
9 u |
6 u |
31 u |
(a)
Fraction of the people that are adults =
59 Fraction of the adults that are women =
25 Fraction of the people that are women
=
59 x
25 =
29 (b)
Total number of hot dogs
= (4 u x 4) + (5 u x 3)
= 16 u + 15 u
= 31 u
31 u = 248
1 u = 248 ÷ 31 = 8
Number of adults
= 3 u + 2 u
= 5 u
= 5 x 8
= 40
Answer(s): (a)
29; (b) 40