Elyse made muffins for sale. 55% of the muffins were curry muffins and the rest were chicken and kaya muffins in the ratio 2 : 1. If a customer bought 75% of the curry muffins and all of the kaya muffins, what percentage of the chicken muffins must Elyse sell for her to maintain the original percentage of curry muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Curry muffins |
Chicken muffins |
Kaya muffins |
11 u |
9 u |
|
6 u |
3 u |
|
Curry muffins |
Chicken muffins |
Kaya muffins |
Total muffins |
Before |
11 u |
6 u |
3 u |
20 u |
Change |
- 8.25 u |
- 3.75 u |
- 3 u |
|
After |
2.75 u |
2.25 u |
0 |
5 u |
55% =
55100 =
112075% =
75100 =
34 Total number of muffins = 20 u
Number of chicken and kaya muffins
= 20 u - 11 u
= 9 u
Number of chicken muffins at first
=
23 x 9 u
= 6 u
Number of kaya muffins at first
= 9 u - 6 u
= 3 u
Number of curry muffins sold
= 75% x 11 u
=
75100 x 11 u
=
34 x 11 u
= 8.25 u
Number of kaya muffins sold
=
13 x 9 u
= 3 u
Number of curry muffins left
= 11 u - 8.25 u
= 2.75 u
To maintain the percentage of the curry muffins in the end,
55% → 2.75 u
100% →
2.7555 x 100 = 5 u
Total number of muffins in the end to maintain the original percentage of curry muffins = 5 u
Number of chicken muffins left
= 5 u - 2.75 u
= 2.25 u
Number of chicken muffins that Elyse must sell to maintain the original percentage of curry muffins
= 6 u - 2.25 u
= 3.75 u
Percentage of the chicken muffins that Elyse must sell
=
3.756 x 100%
= 62.5%
Answer(s): 62.5%