Adam has some stickers
He gives away ¹₄ and an additional 43 stickers away to Bryan.
He gives away 6 less than ³₇ of the remaining stickers to Chris
and ³₅ of the rest to David.
Adam has 20 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 43
Number of stickers that Adam gives to Chris = ³₇ of the remainder - 6
Number of stickers that Adam gives to David = ³₅ of the rest
Number of stickers left = 20


Working backwards.
1 - ³₅ = ²₅

²₅ of the rest = 20
¹₅ of the rest = 20 ÷ 2 = 10
⁵₅ of the rest = 5 x 10 = 50

1 - ³₇ = ⁴₇

⁴₇ of the remainder = 50 - 6 = 44
¹₇ of the remainder = 44 ÷ 4 = 11
⁷₇ of the remainder = 7 x 11 = 77

1 - ¹₄ = ³₄
³₄ of the total = 77 + 43 = 120
¹₄ of the total = 120 ÷ 3 = 40
⁴₄ of the total = 4 x 40 = 160

Number of stickers at first = 160

Answer(s): 160