Marion made muffins for sale. 55% of the muffins were sardine muffins and the rest were egg and chicken muffins in the ratio 3 : 2. If a customer bought 75% of the sardine muffins and all of the chicken muffins, what percentage of the egg muffins must Marion sell for her to maintain the original percentage of sardine muffins at first? Leave your answer in decimals and correct to 1 decimal place.

Sardine muffins	Egg muffins	Chicken muffins
11 u	9 u
	5.4 u	3.6 u

	Sardine muffins	Egg muffins	Chicken muffins	Total muffins
Before	11 u	5.4 u	3.6 u	20 u
Change	- 8.25 u	- 3.15 u	- 3.6 u
After	2.75 u	2.25 u	0	5 u

55% = ⁵⁵₁₀₀ = ¹¹₂₀
75% = ⁷⁵₁₀₀ = ³₄

Total number of muffins = 20 u

Number of egg and chicken muffins
= 20 u - 11 u
= 9 u

Number of egg muffins at first
= ³₅ x 9 u
= 5.4 u

Number of chicken muffins at first
= 9 u - 5.4 u
= 3.6 u

Number of sardine muffins sold
= 75% x 11 u
= ⁷⁵₁₀₀ x 11 u
= ³₄ x 11 u
= 8.25 u

Number of chicken muffins sold
= ²₅ x 9 u
= 3.6 u

Number of sardine muffins left 
= 11 u - 8.25 u
= 2.75 u

To maintain the percentage of the sardine 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 sardine muffins = 5 u

Number of egg muffins left
= 5 u - 2.75 u
= 2.25 u

Number of egg muffins that Marion must sell to maintain the original percentage of sardine muffins
= 5.4 u - 2.25 u
= 3.15 u

Percentage of the egg muffins that Marion must sell
= ^3.15_5.4 x 100%
= 58.3%

Answer(s): 58.3%