Emma made croissants for sale. 45% of the croissants were lotus paste croissants and the rest were egg and beef croissants in the ratio 3 : 2. If a customer bought 65% of the lotus paste croissants and all of the beef croissants, what percentage of the egg croissants must Emma 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 |
Egg croissants |
Beef croissants |
9 u |
11 u |
|
6.6 u |
4.4 u |
|
Lotus paste croissants |
Egg croissants |
Beef croissants |
Total croissants |
Before |
9 u |
6.6 u |
4.4 u |
20 u |
Change |
- 5.85 u |
- 2.75 u |
- 4.4 u |
|
After |
3.15 u |
3.85 u |
0 |
7 u |
45% =
45100 =
92065% =
65100 =
1320 Total number of croissants = 20 u
Number of egg and beef croissants
= 20 u - 9 u
= 11 u
Number of egg croissants at first
=
35 x 11 u
= 6.6 u
Number of beef croissants at first
= 11 u - 6.6 u
= 4.4 u
Number of lotus paste croissants sold
= 65% x 9 u
=
65100 x 9 u
=
1320 x 9 u
= 5.85 u
Number of beef croissants sold
=
25 x 11 u
= 4.4 u
Number of lotus paste croissants left
= 9 u - 5.85 u
= 3.15 u
To maintain the percentage of the lotus paste croissants in the end,
45% → 3.15 u
100% →
3.1545 x 100 = 7 u
Total number of croissants in the end to maintain the original percentage of lotus paste croissants = 7 u
Number of egg croissants left
= 7 u - 3.15 u
= 3.85 u
Number of egg croissants that Emma must sell to maintain the original percentage of lotus paste croissants
= 6.6 u - 3.85 u
= 2.75 u
Percentage of the egg croissants that Emma must sell
=
2.756.6 x 100%
= 41.7%
Answer(s): 41.7%