Adam has some stickers
He gives away ¹₄ and an additional 83 stickers away to Bryan.
He gives away 10 less than ³₈ of the remaining stickers to Chris
and ³₅ of the rest to David.
Adam has 14 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 83
Number of stickers that Adam gives to Chris = ³₈ of the remainder - 10
Number of stickers that Adam gives to David = ³₅ of the rest
Number of stickers left = 14


Working backwards.
1 - ³₅ = ²₅

²₅ of the rest = 14
¹₅ of the rest = 14 ÷ 2 = 7
⁵₅ of the rest = 5 x 7 = 35

1 - ³₈ = ⁵₈

⁵₈ of the remainder = 35 - 10 = 25
¹₈ of the remainder = 25 ÷ 5 = 5
⁸₈ of the remainder = 8 x 5 = 40

1 - ¹₄ = ³₄
³₄ of the total = 40 + 83 = 123
¹₄ of the total = 123 ÷ 3 = 41
⁴₄ of the total = 4 x 41 = 164

Number of stickers at first = 164

Answer(s): 164