If Adam buys 5 beads and 6 stickers, it costs $67.80.
If Adam buys 6 beads and 5 stickers, he will have $1.40 left.

1. Find the cost of 1 bead and 1 sticker.
2. Find the cost of 1 bead.
3. Find the cost of 1 sticker.

(a)
5 beads + 6 stickers = 67.80 --- (1)
6 beads + 5 stickers = 67.80 - 1.40 = 66.40 --- (2)

(1) + (2)
11 beads + 11 stickers = 134.20 --- (3)

(3) _{÷ 11}
1 bead + 1 sticker = 134.20 ÷ 11 = 12.20 --- (4)

Cost of 1 bead and 1 sticker = $12.20

(b)
(4) _{x 5}
5 beads + 5 stickers = 5 x 12.20 = 610 --- (5)

(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 66.40 - 610
6 beads - 5 beads - 5 stickers + 5 stickers = 5.40
1 bead = 5.40

Cost of 1 bead = $5.40

(c)
Substitute 1 bead = 5.40 into (4).

1 bead + 1 sticker = 12.20
5.40 + 1 sticker = 12.20
1 sticker = 12.20 - 5.40 = 6.80

Cost of 1 sticker = $6.80

Answer(s): (a) $12.20; (b) $5.40; (c) $6.80