Adam has some stickers
He gives away ¹₄ and an additional 94 stickers to Bryan.
He gives away ¹₅ of the remainder and 22 more stickers to Chris
and ³₅ of the rest to David.
Adam has 12 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 94
Number of stickers that Adam gives to Chris = ¹₅ of the remainder + 22
Number of stickers that Adam gives to David = ³₅ of the rest
Number of stickers left = 12


Working backwards.
1 - ³₅ = ²₅

²₅ of the rest → 12
¹₅ of the rest → 12 ÷ 2 = 6
⁵₅ of the rest → 5 x 6 = 30

1 - ¹₅ = ⁴₅

⁴₅ of the remainder = 22 + 30 = 52
¹₅ of the remainder = 52 ÷ 4 = 13
⁵₅ of the remainder = 5 x 13 = 65

1 - ¹₄ = ³₄
³₄ of the total = 65 + 94 = 159
¹₄ of the total = 159 ÷ 3 = 53
⁴₄ of the total = 4 x 53 = 212

Number of stickers at first = 212

Answer(s): 212