Jaslyn made puffs for sale. 50% of the puffs were curry puffs and the rest were kaya and lotus paste puffs in the ratio 3 : 1. If a customer bought 80% of the curry puffs and all of the lotus paste puffs, what percentage of the kaya puffs must Jaslyn sell for her to maintain the original percentage of curry puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Curry puffs |
Kaya puffs |
Lotus paste puffs |
1 u |
1 u |
|
0.75 u |
0.25 u |
|
Curry puffs |
Kaya puffs |
Lotus paste puffs |
Total puffs |
Before |
1 u |
0.75 u |
0.25 u |
2 u |
Change |
- 0.8 u |
- 0.55 u |
- 0.25 u |
|
After |
0.2 u |
0.2 u |
0 |
0.4 u |
50% =
50100 =
1280% =
80100 =
45 Total number of puffs = 2 u
Number of kaya and lotus paste puffs
= 2 u - 1 u
= 1 u
Number of kaya puffs at first
=
34 x 1 u
= 0.75 u
Number of lotus paste puffs at first
= 1 u - 0.75 u
= 0.25 u
Number of curry puffs sold
= 80% x 1 u
=
80100 x 1 u
=
45 x 1 u
= 0.8 u
Number of lotus paste puffs sold
=
14 x 1 u
= 0.25 u
Number of curry puffs left
= 1 u - 0.8 u
= 0.2 u
To maintain the percentage of the curry puffs in the end,
50% → 0.2 u
100% →
0.250 x 100 = 0.4 u
Total number of puffs in the end to maintain the original percentage of curry puffs = 0.4 u
Number of kaya puffs left
= 0.4 u - 0.2 u
= 0.2 u
Number of kaya puffs that Jaslyn must sell to maintain the original percentage of curry puffs
= 0.75 u - 0.2 u
= 0.55 u
Percentage of the kaya puffs that Jaslyn must sell
=
0.550.75 x 100%
= 73.3%
Answer(s): 73.3%