Victoria made croissants for sale. 60% of the croissants were lotus paste croissants and the rest were curry and chocolate croissants in the ratio 3 : 2. If a customer bought 80% of the lotus paste croissants and all of the chocolate croissants, what percentage of the curry croissants must Victoria sell for her to maintain the original percentage of lotus paste croissants at first? Leave your answer in decimals and correct to 1 decimal place.
Lotus paste croissants |
Curry croissants |
Chocolate croissants |
3 u |
2 u |
|
1.2 u |
0.8 u |
|
Lotus paste croissants |
Curry croissants |
Chocolate croissants |
Total croissants |
Before |
3 u |
1.2 u |
0.8 u |
5 u |
Change |
- 2.4 u |
- 0.8 u |
- 0.8 u |
|
After |
0.6 u |
0.4 u |
0 |
1 u |
60% =
60100 =
3580% =
80100 =
45 Total number of croissants = 5 u
Number of curry and chocolate croissants
= 5 u - 3 u
= 2 u
Number of curry croissants at first
=
35 x 2 u
= 1.2 u
Number of chocolate croissants at first
= 2 u - 1.2 u
= 0.8 u
Number of lotus paste croissants sold
= 80% x 3 u
=
80100 x 3 u
=
45 x 3 u
= 2.4 u
Number of chocolate croissants sold
=
25 x 2 u
= 0.8 u
Number of lotus paste croissants left
= 3 u - 2.4 u
= 0.6 u
To maintain the percentage of the lotus paste croissants in the end,
60% → 0.6 u
100% →
0.660 x 100 = 1 u
Total number of croissants in the end to maintain the original percentage of lotus paste croissants = 1 u
Number of curry croissants left
= 1 u - 0.6 u
= 0.4 u
Number of curry croissants that Victoria must sell to maintain the original percentage of lotus paste croissants
= 1.2 u - 0.4 u
= 0.8 u
Percentage of the curry croissants that Victoria must sell
=
0.81.2 x 100%
= 66.7%
Answer(s): 66.7%