Adam has some stickers
He gives away ¹₅ and an additional 32 stickers to Bryan.
He gives away ⁵₈ of the remainder and 22 more stickers to Chris
and ³₈ 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 = ¹₅ of the total + 32
Number of stickers that Adam gives to Chris = ⁵₈ of the remainder + 22
Number of stickers that Adam gives to David = ³₈ of the rest
Number of stickers left = 20


Working backwards.
1 - ³₈ = ⁵₈

⁵₈ of the rest → 20
¹₈ of the rest → 20 ÷ 5 = 4
⁸₈ of the rest → 8 x 4 = 32

1 - ⁵₈ = ³₈

³₈ of the remainder = 22 + 32 = 54
¹₈ of the remainder = 54 ÷ 3 = 18
⁸₈ of the remainder = 8 x 18 = 144

1 - ¹₅ = ⁴₅
⁴₅ of the total = 144 + 32 = 176
¹₅ of the total = 176 ÷ 4 = 44
⁵₅ of the total = 5 x 44 = 220

Number of stickers at first = 220

Answer(s): 220