Wendy made muffins for sale. 50% of the muffins were kaya muffins and the rest were egg and chocolate muffins in the ratio 3 : 1. If a customer bought 60% of the kaya muffins and all of the chocolate muffins, what percentage of the egg muffins must Wendy sell for her to maintain the original percentage of kaya muffins at first? Leave your answer in decimals and correct to 1 decimal place.

Kaya muffins	Egg muffins	Chocolate muffins
1 u	1 u
	0.75 u	0.25 u

	Kaya muffins	Egg muffins	Chocolate muffins	Total muffins
Before	1 u	0.75 u	0.25 u	2 u
Change	- 0.6 u	- 0.35 u	- 0.25 u
After	0.4 u	0.4 u	0	0.8 u

50% = ⁵⁰₁₀₀ = ¹₂
60% = ⁶⁰₁₀₀ = ³₅

Total number of muffins = 2 u

Number of egg and chocolate muffins
= 2 u - 1 u
= 1 u

Number of egg muffins at first
= ³₄ x 1 u
= 0.75 u

Number of chocolate muffins at first
= 1 u - 0.75 u
= 0.25 u

Number of kaya muffins sold
= 60% x 1 u
= ⁶⁰₁₀₀ x 1 u
= ³₅ x 1 u
= 0.6 u

Number of chocolate muffins sold
= ¹₄ x 1 u
= 0.25 u

Number of kaya muffins left 
= 1 u - 0.6 u
= 0.4 u

To maintain the percentage of the kaya muffins in the end, 
50% → 0.4 u
100% → ^0.4₅₀ x 100 = 0.8 u

Total number of muffins in the end to maintain the original percentage of kaya muffins = 0.8 u

Number of egg muffins left
= 0.8 u - 0.4 u
= 0.4 u

Number of egg muffins that Wendy must sell to maintain the original percentage of kaya muffins
= 0.75 u - 0.4 u
= 0.35 u

Percentage of the egg muffins that Wendy must sell
= ^0.35_0.75 x 100%
= 46.7%

Answer(s): 46.7%