Adam has some stickers
He gives away ¹₄ and an additional 85 stickers to Bryan.
He gives away ³₅ of the remainder and 12 more stickers to Chris
and ³₅ of the rest to David.
Adam has 8 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 85
Number of stickers that Adam gives to Chris = ³₅ of the remainder + 12
Number of stickers that Adam gives to David = ³₅ of the rest
Number of stickers left = 8


Working backwards.
1 - ³₅ = ²₅

²₅ of the rest → 8
¹₅ of the rest → 8 ÷ 2 = 4
⁵₅ of the rest → 5 x 4 = 20

1 - ³₅ = ²₅

²₅ of the remainder = 12 + 20 = 32
¹₅ of the remainder = 32 ÷ 2 = 16
⁵₅ of the remainder = 5 x 16 = 80

1 - ¹₄ = ³₄
³₄ of the total = 80 + 85 = 165
¹₄ of the total = 165 ÷ 3 = 55
⁴₄ of the total = 4 x 55 = 220

Number of stickers at first = 220

Answer(s): 220