If Adam buys 3 beads and 4 stickers, it costs $40.10.
If Adam buys 4 beads and 3 stickers, he will need another $4.50.
- 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 = 40.10 --- (1)
4 beads + 3 stickers = 40.10 + 4.50 = 44.60 --- (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 = 44.60 --- (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 = 44.60 - 36.30
4 beads - 3 beads + 3 stickers - 3 stickers = 8.30
1 bead = 8.30
Cost of 1 bead = $8.30
(c)
Substitute 1 bead = 8.30 into (4).
1 bead + 1 sticker = 12.10
8.30 + 1 sticker = 12.10
1 sticker = 12.10 - 8.30 = 3.80
Cost of 1 sticker = $3.80
Answer(s): (a) $12.10; (b) $8.30; (c) $3.80