Elyse made buns for sale. 60% of the buns were egg buns and the rest were chicken and chocolate buns in the ratio 3 : 1. If a customer bought 65% of the egg buns and all of the chocolate buns, what percentage of the chicken buns must Elyse sell for her to maintain the original percentage of egg buns at first? Leave your answer in decimals and correct to 1 decimal place.

Egg buns	Chicken buns	Chocolate buns
3 u	2 u
	1.5 u	0.5 u

	Egg buns	Chicken buns	Chocolate buns	Total buns
Before	3 u	1.5 u	0.5 u	5 u
Change	- 1.95 u	- 0.8 u	- 0.5 u
After	1.05 u	0.7 u	0	1.75 u

60% = ⁶⁰₁₀₀ = ³₅
65% = ⁶⁵₁₀₀ = ¹³₂₀

Total number of buns = 5 u

Number of chicken and chocolate buns
= 5 u - 3 u
= 2 u

Number of chicken buns at first
= ³₄ x 2 u
= 1.5 u

Number of chocolate buns at first
= 2 u - 1.5 u
= 0.5 u

Number of egg buns sold
= 65% x 3 u
= ⁶⁵₁₀₀ x 3 u
= ¹³₂₀ x 3 u
= 1.95 u

Number of chocolate buns sold
= ¹₄ x 2 u
= 0.5 u

Number of egg buns left 
= 3 u - 1.95 u
= 1.05 u

To maintain the percentage of the egg buns in the end, 
60% → 1.05 u
100% → ^1.05₆₀ x 100 = 1.75 u

Total number of buns in the end to maintain the original percentage of egg buns = 1.75 u

Number of chicken buns left
= 1.75 u - 1.05 u
= 0.7 u

Number of chicken buns that Elyse must sell to maintain the original percentage of egg buns
= 1.5 u - 0.7 u
= 0.8 u

Percentage of the chicken buns that Elyse must sell
= ^0.8_1.5 x 100%
= 53.3%

Answer(s): 53.3%