If Adam buys 2 beads and 3 stickers, it costs $29.10.
If Adam buys 3 beads and 2 stickers, he will need another $4.30.
- 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 = 29.10 --- (1)
3 beads + 2 stickers = 29.10 + 4.30 = 33.40 --- (2)
(1) + (2)
5 beads + 5 stickers = 62.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 62.50 ÷ 5 = 12.50 --- (4)
Cost of 1 bead and 1 sticker = $12.50
(b)
3 beads + 2 stickers = 33.40 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 12.50 = 250 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 33.40 - 250
3 beads - 2 beads + 2 stickers - 2 stickers = 8.40
1 bead = 8.40
Cost of 1 bead = $8.40
(c)
Substitute 1 bead = 8.40 into (4).
1 bead + 1 sticker = 12.50
8.40 + 1 sticker = 12.50
1 sticker = 12.50 - 8.40 = 4.10
Cost of 1 sticker = $4.10
Answer(s): (a) $12.50; (b) $8.40; (c) $4.10