Linda made croissants for sale. 40% of the croissants were kaya croissants and the rest were curry and sardine croissants in the ratio 3 : 1. If a customer bought 65% of the kaya croissants and all of the sardine croissants, what percentage of the curry croissants must Linda sell for her to maintain the original percentage of kaya croissants at first? Leave your answer in decimals and correct to 1 decimal place.
Kaya croissants |
Curry croissants |
Sardine croissants |
2 u |
3 u |
|
2.25 u |
0.75 u |
|
Kaya croissants |
Curry croissants |
Sardine croissants |
Total croissants |
Before |
2 u |
2.25 u |
0.75 u |
5 u |
Change |
- 1.3 u |
- 1.2 u |
- 0.75 u |
|
After |
0.7 u |
1.05 u |
0 |
1.75 u |
40% =
40100 =
2565% =
65100 =
1320 Total number of croissants = 5 u
Number of curry and sardine croissants
= 5 u - 2 u
= 3 u
Number of curry croissants at first
=
34 x 3 u
= 2.25 u
Number of sardine croissants at first
= 3 u - 2.25 u
= 0.75 u
Number of kaya croissants sold
= 65% x 2 u
=
65100 x 2 u
=
1320 x 2 u
= 1.3 u
Number of sardine croissants sold
=
14 x 3 u
= 0.75 u
Number of kaya croissants left
= 2 u - 1.3 u
= 0.7 u
To maintain the percentage of the kaya croissants in the end,
40% → 0.7 u
100% →
0.740 x 100 = 1.75 u
Total number of croissants in the end to maintain the original percentage of kaya croissants = 1.75 u
Number of curry croissants left
= 1.75 u - 0.7 u
= 1.05 u
Number of curry croissants that Linda must sell to maintain the original percentage of kaya croissants
= 2.25 u - 1.05 u
= 1.2 u
Percentage of the curry croissants that Linda must sell
=
1.22.25 x 100%
= 53.3%
Answer(s): 53.3%