Joelle made croissants for sale. 55% of the croissants were chocolate croissants and the rest were lotus paste and kaya croissants in the ratio 3 : 2. If a customer bought 60% of the chocolate croissants and all of the kaya croissants, what percentage of the lotus paste croissants must Joelle sell for her to maintain the original percentage of chocolate croissants at first? Leave your answer in decimals and correct to 1 decimal place.
Chocolate croissants |
Lotus paste croissants |
Kaya croissants |
11 u |
9 u |
|
5.4 u |
3.6 u |
|
Chocolate croissants |
Lotus paste croissants |
Kaya croissants |
Total croissants |
Before |
11 u |
5.4 u |
3.6 u |
20 u |
Change |
- 6.6 u |
- 1.8 u |
- 3.6 u |
|
After |
4.4 u |
3.6 u |
0 |
8 u |
55% =
55100 =
112060% =
60100 =
35 Total number of croissants = 20 u
Number of lotus paste and kaya croissants
= 20 u - 11 u
= 9 u
Number of lotus paste croissants at first
=
35 x 9 u
= 5.4 u
Number of kaya croissants at first
= 9 u - 5.4 u
= 3.6 u
Number of chocolate croissants sold
= 60% x 11 u
=
60100 x 11 u
=
35 x 11 u
= 6.6 u
Number of kaya croissants sold
=
25 x 9 u
= 3.6 u
Number of chocolate croissants left
= 11 u - 6.6 u
= 4.4 u
To maintain the percentage of the chocolate croissants in the end,
55% → 4.4 u
100% →
4.455 x 100 = 8 u
Total number of croissants in the end to maintain the original percentage of chocolate croissants = 8 u
Number of lotus paste croissants left
= 8 u - 4.4 u
= 3.6 u
Number of lotus paste croissants that Joelle must sell to maintain the original percentage of chocolate croissants
= 5.4 u - 3.6 u
= 1.8 u
Percentage of the lotus paste croissants that Joelle must sell
=
1.85.4 x 100%
= 33.3%
Answer(s): 33.3%