If Adam buys 2 beads and 3 stickers, it costs $24.20.
If Adam buys 3 beads and 2 stickers, he will need another $3.10.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
2 beads + 3 stickers = 24.20 --- (1)
3 beads + 2 stickers = 24.20 + 3.10 = 27.30 --- (2)
(1) + (2)
5 beads + 5 stickers = 51.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 51.50 ÷ 5 = 10.30 --- (4)
Cost of 1 bead and 1 sticker = $10.30
(b)
3 beads + 2 stickers = 27.30 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 10.30 = 20.60 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 27.30 - 20.60
3 beads - 2 beads + 2 stickers - 2 stickers = 6.70
1 bead = 6.70
Cost of 1 bead = $6.70
(c)
Substitute 1 bead = 6.70 into (4).
1 bead + 1 sticker = 10.30
6.70 + 1 sticker = 10.30
1 sticker = 10.30 - 6.70 = 3.60
Cost of 1 sticker = $3.60
Answer(s): (a) $10.30; (b) $6.70; (c) $3.60