Gabby, Lynn and Fanny had 990 stickers. Lynn won some of the stickers from Gabby and as a result, Lynn's stickers increased by 25%. Fanny then won some stickers from Lynn and Fanny's stickers increased by 75%. Finally, Fanny lost some of her stickers to Gabby and Gabby's stickers increased by 20%. In the end, they realised that they each had an equal number of stickers. How many percent less did Gabby have in the end than what she had at first? Correct your answer to 1 decimal place.

Gabby	Lynn	Fanny
990
	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 = 990

1 group = 990 ÷ 3 = 330

1 group = 6 boxes
6 boxes = 330

1 box = 330 ÷ 6 = 55

1 group + 1 box = 7 p
330 + 55 = 7 p
7 p = 385

1 p = 385 ÷ 7 = 55

3 p = 3 x 55 = 165

1 group + 3 p = 5 u
330 + 165 = 5 u
5 u = 495

1 u = 495 ÷ 5 = 99

Number of stickers that Gabby had at first
= 5 boxes + 1 u
= (5 x 55) + 99
= 275 + 99
= 374

Percent that Gabby had less in the end than at first
= ^{374 - 330}₃₇₄ x 100%
≈ 11.8%

Answer(s): 11.8%