If Adam buys 2 stickers and 3 beads, it costs $31.30.
If Adam buys 3 stickers and 2 beads, he will have $5.10 left.

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

(a)
2 stickers + 3 beads = 31.30 --- (1)
3 stickers + 2 beads = 31.30 - 5.10 = 26.20 --- (2)

(1) + (2)
5 stickers + 5 beads = 57.50 --- (3)

(3) _{÷ 5}
1 sticker + 1 bead = 57.50 ÷ 5 = 11.50 --- (4)

Cost of 1 sticker and 1 bead = $11.50

(b)
(4) _{x 2}
2 stickers + 2 beads = 2 x 11.50 = 230 --- (5)

(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 26.20 - 230
3 stickers - 2 stickers - 2 beads + 2 beads = 3.20
1 sticker = 3.20

Cost of 1 sticker = $3.20

(c)
Substitute 1 sticker = 3.20 into (4).

1 sticker + 1 bead = 11.50
3.20 + 1 bead = 11.50
1 bead = 11.50 - 3.20 = 8.30

Cost of 1 bead = $8.30

Answer(s): (a) $11.50; (b) $3.20; (c) $8.30