Victoria, Rachel and Sabrina had 630 erasers. Rachel won some of the erasers from Victoria and as a result, Rachel's erasers increased by 20%. Sabrina then won some erasers from Rachel and Sabrina's erasers increased by 75%. Finally, Sabrina lost some of her erasers to Victoria and Victoria's erasers increased by 25%. In the end, they realised that they each had an equal number of erasers. How many percent less did Victoria have in the end than what she had at first? Correct your answer to 1 decimal place.

Victoria	Rachel	Sabrina
630
	5 u
- 1 u	+ 1 u
	6 u
		4 p
	- 3 p	+ 3 p
		7 p
4 boxes
+ 1 box		- 1 box
5 boxes
1 group	1 group	1 group

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

Working backwards.

3 groups = 630

1 group = 630 ÷ 3 = 210

1 group = 5 boxes
5 boxes = 210

1 box = 210 ÷ 5 = 42

1 group + 1 box = 7 p
210 + 42 = 7 p
7 p = 252

1 p = 252 ÷ 7 = 36

3 p = 3 x 36 = 108

1 group + 3 p = 6 u
210 + 108 = 6 u
6 u = 318

1 u = 318 ÷ 6 = 53

Number of erasers that Victoria had at first
= 4 boxes + 1 u
= (4 x 42) + 53
= 168 + 53
= 221

Percent that Victoria had less in the end than at first
= ^{221 - 210}₂₂₁ x 100%
≈ 5%

Answer(s): 5%