Kathy made puffs for sale. 60% of the puffs were lotus paste puffs and the rest were kaya and egg puffs in the ratio 3 : 2. If a customer bought 60% of the lotus paste puffs and all of the egg puffs, what percentage of the kaya puffs must Kathy sell for her to maintain the original percentage of lotus paste puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Lotus paste puffs |
Kaya puffs |
Egg puffs |
3 u |
2 u |
|
1.2 u |
0.8 u |
|
Lotus paste puffs |
Kaya puffs |
Egg puffs |
Total puffs |
Before |
3 u |
1.2 u |
0.8 u |
5 u |
Change |
- 1.8 u |
- 0.4 u |
- 0.8 u |
|
After |
1.2 u |
0.8 u |
0 |
2 u |
60% =
60100 =
3560% =
60100 =
35 Total number of puffs = 5 u
Number of kaya and egg puffs
= 5 u - 3 u
= 2 u
Number of kaya puffs at first
=
35 x 2 u
= 1.2 u
Number of egg puffs at first
= 2 u - 1.2 u
= 0.8 u
Number of lotus paste puffs sold
= 60% x 3 u
=
60100 x 3 u
=
35 x 3 u
= 1.8 u
Number of egg puffs sold
=
25 x 2 u
= 0.8 u
Number of lotus paste puffs left
= 3 u - 1.8 u
= 1.2 u
To maintain the percentage of the lotus paste puffs in the end,
60% → 1.2 u
100% →
1.260 x 100 = 2 u
Total number of puffs in the end to maintain the original percentage of lotus paste puffs = 2 u
Number of kaya puffs left
= 2 u - 1.2 u
= 0.8 u
Number of kaya puffs that Kathy must sell to maintain the original percentage of lotus paste puffs
= 1.2 u - 0.8 u
= 0.4 u
Percentage of the kaya puffs that Kathy must sell
=
0.41.2 x 100%
= 33.3%
Answer(s): 33.3%