If Adam buys 3 stickers and 4 beads, it costs $32.30.
If Adam buys 4 stickers and 3 beads, he will need another $3.30.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
3 stickers + 4 beads = 32.30 --- (1)
4 stickers + 3 beads = 32.30 + 3.30 = 35.60 --- (2)
(1) + (2)
7 stickers + 7 beads = 67.90 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 67.90 ÷ 7 = 9.70 --- (4)
Cost of 1 sticker and 1 bead = $9.70
(b)
4 stickers + 3 beads = 35.60 --- (2)
(4)
x 3 3 stickers + 3 beads = 3 x 9.70 = 29.10 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 35.60 - 29.10
4 stickers - 3 stickers + 3 beads - 3 beads = 6.50
1 sticker = 6.50
Cost of 1 sticker = $6.50
(c)
Substitute 1 sticker = 6.50 into (4).
1 sticker + 1 bead = 9.70
6.50 + 1 bead = 9.70
1 bead = 9.70 - 6.50 = 3.20
Cost of 1 bead = $3.20
Answer(s): (a) $9.70; (b) $6.50; (c) $3.20