If Adam buys 3 beads and 4 stickers, it costs $41.50.
If Adam buys 4 beads and 3 stickers, he will need another $1.70.

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)
3 beads + 4 stickers = 41.50 --- (1)
4 beads + 3 stickers = 41.50 + 1.70 = 43.20 --- (2)

(1) + (2)
7 beads + 7 stickers = 84.70 --- (3)

(3) _{÷ 7}
1 bead + 1 sticker = 84.70 ÷ 7 = 12.10 --- (4)

Cost of 1 bead and 1 sticker = $12.10

(b)
4 beads + 3 stickers = 43.20 --- (2)

(4) _{x 3}
3 beads + 3 stickers = 3 x 12.10 = 36.30 --- (5)

(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 43.20 - 36.30
4 beads - 3 beads + 3 stickers - 3 stickers = 6.90
1 bead = 6.90

Cost of 1 bead = $6.90

(c)
Substitute 1 bead = 6.90 into (4).

1 bead + 1 sticker = 12.10
6.90 + 1 sticker = 12.10
1 sticker = 12.10 - 6.90 = 5.20

Cost of 1 sticker = $5.20

Answer(s): (a) $12.10; (b) $6.90; (c) $5.20