Hazel, Erika and Shannon had 1080 cards. Erika won some of the cards from Hazel and as a result, Erika's cards increased by 25%. Shannon then won some cards from Erika and Shannon's cards increased by 75%. Finally, Shannon lost some of her cards to Hazel and Hazel's cards increased by 20%. In the end, they realised that they each had an equal number of cards. How many percent less did Hazel have in the end than what she had at first? Correct your answer to 1 decimal place.

Hazel	Erika	Shannon
1080
	4 u
- 1 u	+ 1 u
	5 u
		4 p
	- 3 p	+ 3 p
		7 p
5 boxes
+ 1 box		- 1 box
6 boxes
1 group	1 group	1 group

25% = ²⁵₁₀₀ = ¹₄
75% = ⁷⁵₁₀₀ = ³₄
20% = ²⁰₁₀₀ = ¹₅

Working backwards.

3 groups = 1080

1 group = 1080 ÷ 3 = 360

1 group = 6 boxes
6 boxes = 360

1 box = 360 ÷ 6 = 60

1 group + 1 box = 7 p
360 + 60 = 7 p
7 p = 420

1 p = 420 ÷ 7 = 60

3 p = 3 x 60 = 180

1 group + 3 p = 5 u
360 + 180 = 5 u
5 u = 540

1 u = 540 ÷ 5 = 108

Number of cards that Hazel had at first
= 5 boxes + 1 u
= (5 x 60) + 108
= 300 + 108
= 408

Percent that Hazel had less in the end than at first
= ^{408 - 360}₄₀₈ x 100%
≈ 11.8%

Answer(s): 11.8%