Jade made puffs for sale. 55% of the puffs were lotus paste puffs and the rest were egg and curry puffs in the ratio 3 : 2. If a customer bought 80% of the lotus paste puffs and all of the curry puffs, what percentage of the egg puffs must Jade 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 |
Egg puffs |
Curry puffs |
11 u |
9 u |
|
5.4 u |
3.6 u |
|
Lotus paste puffs |
Egg puffs |
Curry puffs |
Total puffs |
Before |
11 u |
5.4 u |
3.6 u |
20 u |
Change |
- 8.8 u |
- 3.6 u |
- 3.6 u |
|
After |
2.2 u |
1.8 u |
0 |
4 u |
55% =
55100 =
112080% =
80100 =
45 Total number of puffs = 20 u
Number of egg and curry puffs
= 20 u - 11 u
= 9 u
Number of egg puffs at first
=
35 x 9 u
= 5.4 u
Number of curry puffs at first
= 9 u - 5.4 u
= 3.6 u
Number of lotus paste puffs sold
= 80% x 11 u
=
80100 x 11 u
=
45 x 11 u
= 8.8 u
Number of curry puffs sold
=
25 x 9 u
= 3.6 u
Number of lotus paste puffs left
= 11 u - 8.8 u
= 2.2 u
To maintain the percentage of the lotus paste puffs in the end,
55% → 2.2 u
100% →
2.255 x 100 = 4 u
Total number of puffs in the end to maintain the original percentage of lotus paste puffs = 4 u
Number of egg puffs left
= 4 u - 2.2 u
= 1.8 u
Number of egg puffs that Jade must sell to maintain the original percentage of lotus paste puffs
= 5.4 u - 1.8 u
= 3.6 u
Percentage of the egg puffs that Jade must sell
=
3.65.4 x 100%
= 66.7%
Answer(s): 66.7%