Vanessa made puffs for sale. 50% of the puffs were kaya puffs and the rest were lotus paste and curry puffs in the ratio 3 : 2. If a customer bought 60% of the kaya puffs and all of the curry puffs, what percentage of the lotus paste puffs must Vanessa sell for her to maintain the original percentage of kaya puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Kaya puffs |
Lotus paste puffs |
Curry puffs |
1 u |
1 u |
|
0.6 u |
0.4 u |
|
Kaya puffs |
Lotus paste puffs |
Curry puffs |
Total puffs |
Before |
1 u |
0.6 u |
0.4 u |
2 u |
Change |
- 0.6 u |
- 0.2 u |
- 0.4 u |
|
After |
0.4 u |
0.4 u |
0 |
0.8 u |
50% =
50100 =
1260% =
60100 =
35 Total number of puffs = 2 u
Number of lotus paste and curry puffs
= 2 u - 1 u
= 1 u
Number of lotus paste puffs at first
=
35 x 1 u
= 0.6 u
Number of curry puffs at first
= 1 u - 0.6 u
= 0.4 u
Number of kaya puffs sold
= 60% x 1 u
=
60100 x 1 u
=
35 x 1 u
= 0.6 u
Number of curry puffs sold
=
25 x 1 u
= 0.4 u
Number of kaya puffs left
= 1 u - 0.6 u
= 0.4 u
To maintain the percentage of the kaya puffs in the end,
50% → 0.4 u
100% →
0.450 x 100 = 0.8 u
Total number of puffs in the end to maintain the original percentage of kaya puffs = 0.8 u
Number of lotus paste puffs left
= 0.8 u - 0.4 u
= 0.4 u
Number of lotus paste puffs that Vanessa must sell to maintain the original percentage of kaya puffs
= 0.6 u - 0.4 u
= 0.2 u
Percentage of the lotus paste puffs that Vanessa must sell
=
0.20.6 x 100%
= 33.3%
Answer(s): 33.3%