Abi made puffs for sale. 50% of the puffs were kaya puffs and the rest were mushroom and beef puffs in the ratio 3 : 1. If a customer bought 65% of the kaya puffs and all of the beef puffs, what percentage of the mushroom puffs must Abi sell for her to maintain the original percentage of kaya puffs at first? Leave your answer in decimals and correct to 1 decimal place.

Kaya puffs	Mushroom puffs	Beef puffs
1 u	1 u
	0.75 u	0.25 u

	Kaya puffs	Mushroom puffs	Beef puffs	Total puffs
Before	1 u	0.75 u	0.25 u	2 u
Change	- 0.65 u	- 0.4 u	- 0.25 u
After	0.35 u	0.35 u	0	0.7 u

50% = ⁵⁰₁₀₀ = ¹₂
65% = ⁶⁵₁₀₀ = ¹³₂₀

Total number of puffs = 2 u

Number of mushroom and beef puffs
= 2 u - 1 u
= 1 u

Number of mushroom puffs at first
= ³₄ x 1 u
= 0.75 u

Number of beef puffs at first
= 1 u - 0.75 u
= 0.25 u

Number of kaya puffs sold
= 65% x 1 u
= ⁶⁵₁₀₀ x 1 u
= ¹³₂₀ x 1 u
= 0.65 u

Number of beef puffs sold
= ¹₄ x 1 u
= 0.25 u

Number of kaya puffs left 
= 1 u - 0.65 u
= 0.35 u

To maintain the percentage of the kaya puffs in the end, 
50% → 0.35 u
100% → ^0.35₅₀ x 100 = 0.7 u

Total number of puffs in the end to maintain the original percentage of kaya puffs = 0.7 u

Number of mushroom puffs left
= 0.7 u - 0.35 u
= 0.35 u

Number of mushroom puffs that Abi must sell to maintain the original percentage of kaya puffs
= 0.75 u - 0.35 u
= 0.4 u

Percentage of the mushroom puffs that Abi must sell
= ^0.4_0.75 x 100%
= 53.3%

Answer(s): 53.3%