Adam has some stickers
He gives away ¹₄ and an additional 77 stickers to Bryan.
He gives away ³₅ of the remainder and 13 more stickers to Chris
and ⁴₇ 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 + 77
Number of stickers that Adam gives to Chris = ³₅ of the remainder + 13
Number of stickers that Adam gives to David = ⁴₇ of the rest
Number of stickers left = 9


Working backwards.
1 - ⁴₇ = ³₇

³₇ of the rest → 9
¹₇ of the rest → 9 ÷ 3 = 3
⁷₇ of the rest → 7 x 3 = 21

1 - ³₅ = ²₅

²₅ of the remainder = 13 + 21 = 34
¹₅ of the remainder = 34 ÷ 2 = 17
⁵₅ of the remainder = 5 x 17 = 85

1 - ¹₄ = ³₄
³₄ of the total = 85 + 77 = 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