If Adam buys 3 beads and 4 stickers, it costs $43.40.
If Adam buys 4 beads and 3 stickers, he will need another $3.50.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
3 beads + 4 stickers = 43.40 --- (1)
4 beads + 3 stickers = 43.40 + 3.50 = 46.90 --- (2)
(1) + (2)
7 beads + 7 stickers = 90.30 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 90.30 ÷ 7 = 12.90 --- (4)
Cost of 1 bead and 1 sticker = $12.90
(b)
4 beads + 3 stickers = 46.90 --- (2)
(4)
x 3 3 beads + 3 stickers = 3 x 12.90 = 38.70 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 46.90 - 38.70
4 beads - 3 beads + 3 stickers - 3 stickers = 8.20
1 bead = 8.20
Cost of 1 bead = $8.20
(c)
Substitute 1 bead = 8.20 into (4).
1 bead + 1 sticker = 12.90
8.20 + 1 sticker = 12.90
1 sticker = 12.90 - 8.20 = 4.70
Cost of 1 sticker = $4.70
Answer(s): (a) $12.90; (b) $8.20; (c) $4.70