Dana made puffs for sale. 40% of the puffs were egg puffs and the rest were mushroom and lotus paste puffs in the ratio 3 : 2. If a customer bought 60% of the egg puffs and all of the lotus paste puffs, what percentage of the mushroom puffs must Dana sell for her to maintain the original percentage of egg puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Egg puffs |
Mushroom puffs |
Lotus paste puffs |
2 u |
3 u |
|
1.8 u |
1.2 u |
|
Egg puffs |
Mushroom puffs |
Lotus paste puffs |
Total puffs |
Before |
2 u |
1.8 u |
1.2 u |
5 u |
Change |
- 1.2 u |
- 0.6 u |
- 1.2 u |
|
After |
0.8 u |
1.2 u |
0 |
2 u |
40% =
40100 =
2560% =
60100 =
35 Total number of puffs = 5 u
Number of mushroom and lotus paste puffs
= 5 u - 2 u
= 3 u
Number of mushroom puffs at first
=
35 x 3 u
= 1.8 u
Number of lotus paste puffs at first
= 3 u - 1.8 u
= 1.2 u
Number of egg puffs sold
= 60% x 2 u
=
60100 x 2 u
=
35 x 2 u
= 1.2 u
Number of lotus paste puffs sold
=
25 x 3 u
= 1.2 u
Number of egg puffs left
= 2 u - 1.2 u
= 0.8 u
To maintain the percentage of the egg puffs in the end,
40% → 0.8 u
100% →
0.840 x 100 = 2 u
Total number of puffs in the end to maintain the original percentage of egg puffs = 2 u
Number of mushroom puffs left
= 2 u - 0.8 u
= 1.2 u
Number of mushroom puffs that Dana must sell to maintain the original percentage of egg puffs
= 1.8 u - 1.2 u
= 0.6 u
Percentage of the mushroom puffs that Dana must sell
=
0.61.8 x 100%
= 33.3%
Answer(s): 33.3%