A bag contained purple and brown stickers. There were 60% more purple stickers than brown stickers. When 52 more stickers were poured into the bag, the amount of purple stickers increased by 25% and the amount of brown stickers increased 90%. How many stickers were in the bag at first?

	Purple stickers	Brown stickers	Total stickers
Before	8 u	5 u	13 u
Change	+ 2 u	+ 4.5 u	+ 6.5 u
After	10 u	9.5 u	19.5 u

100% + 60% = 160%

160% = ¹⁶⁰₁₀₀ = ⁸₅

Number of more purple stickers that were poured into the bag
= 25% x 8 u
= ²⁵₁₀₀ x 8 u
= 2 u

Number of more brown stickers that were poured into the bag
= 90% x 5 u
= ⁹⁰₁₀₀ x 5 u
= 4.5 u

Total number of more stickers that were poured into the bag
= 2 u + 4.5 u
= 6.5 u

6.5 u = 52

1 u = 52 ÷ 6.5 = 8

Number of stickers in the bag at first
= 8 u + 5 u
= 13 u
= 13 x 8
= 104

Answer(s): 104