Adam has some stickers
He gives away ¹₄ and an additional 50 stickers to Bryan.
He gives away ⁵₇ of the remainder and 17 more stickers to Chris
and ²₅ of the rest to David.
Adam has 9 stickers left.
How many stickers does he have at first?
Number of stickers that Adam gives to Bryan = ¹₄ of the total + 50
Number of stickers that Adam gives to Chris = ⁵₇ of the remainder + 17
Number of stickers that Adam gives to David = ²₅ of the rest
Number of stickers left = 9


Working backwards.
1 - ²₅ = ³₅

³₅ of the rest → 9
¹₅ of the rest → 9 ÷ 3 = 3
⁵₅ of the rest → 5 x 3 = 15

1 - ⁵₇ = ²₇

²₇ of the remainder = 17 + 15 = 32
¹₇ of the remainder = 32 ÷ 2 = 16
⁷₇ of the remainder = 7 x 16 = 112

1 - ¹₄ = ³₄
³₄ of the total = 112 + 50 = 162
¹₄ of the total = 162 ÷ 3 = 54
⁴₄ of the total = 4 x 54 = 216

Number of stickers at first = 216

Answer(s): 216