Gabby, Yoko and Shannon had 1386 stamps. Yoko won some of the stamps from Gabby and as a result, Yoko's stamps increased by 50%. Shannon then won some stamps from Yoko and Shannon's stamps increased by 75%. Finally, Shannon lost some of her stamps to Gabby and Gabby's stamps increased by 20%. In the end, they realised that they each had an equal number of stamps. How many percent less did Gabby have in the end than what she had at first? Correct your answer to 1 decimal place.

Gabby	Yoko	Shannon
1386
	2 u
- 1 u	+ 1 u
	3 u
		4 p
	- 3 p	+ 3 p
		7 p
5 boxes
+ 1 box		- 1 box
6 boxes
1 group	1 group	1 group

50% = ⁵⁰₁₀₀ = ¹₂
75% = ⁷⁵₁₀₀ = ³₄
20% = ²⁰₁₀₀ = ¹₅

Working backwards.

3 groups = 1386

1 group = 1386 ÷ 3 = 462

1 group = 6 boxes
6 boxes = 462

1 box = 462 ÷ 6 = 77

1 group + 1 box = 7 p
462 + 77 = 7 p
7 p = 539

1 p = 539 ÷ 7 = 77

3 p = 3 x 77 = 231

1 group + 3 p = 3 u
462 + 231 = 3 u
3 u = 693

1 u = 693 ÷ 3 = 231

Number of stamps that Gabby had at first
= 5 boxes + 1 u
= (5 x 77) + 231
= 385 + 231
= 616

Percent that Gabby had less in the end than at first
= ^{616 - 462}₆₁₆ x 100%
≈ 25.0%

Answer(s): 25.0%