Adam and Bryan have some stickers.
²₃ of Adam's stickers is 84 less than ³₇ of Bryan's stickers.
Bryan has 294 stickers.

1. How many stickers does Adam have?
2. How many stickers do Adam and Bryan have altogether?
3. How many stickers does Bryan have more than Adam?

(a)
Make the numerators the same.
2x33x3 of Adam's stickers = 3x27x2 of Bryan's stickers - 84
69 of Adam's stickers = 614 of Bryan's stickers - 84

Let ¹₁₄ of Bryan's stickers be 1 u.
Number of stickers that Bryan has = 14 u

14 u = 294

1 u = 294 ÷ 14 = 21

⁶₉ of Adam's stickers = 6 u - 84
¹₉ of Adam's stickers = 1 u - 14
⁹₉ of Adam's stickers = 9 u - 126

Number of stickers that Adam has
= 9 u - 126
= 9 x 21 - 126
= 189 - 126
= 63

(b)
Number of stickers that Adam and Bryan have altogether
= 9 u - 126 + 14 u
= 63 + 14 x 21
= 63 + 294
= 357

(c)
Number of stickers that Bryan have more than Adam
= 294 - 63
= 231

Answer(s): (a) 63; (b) 357; (c) 231