If Adam buys 3 stickers and 4 beads, it costs $48.40.
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 = 48.40 --- (1)
4 stickers + 3 beads = 48.40 + 3.30 = 51.70 --- (2)
(1) + (2)
7 stickers + 7 beads = 100.10 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 100.10 ÷ 7 = 14.30 --- (4)
Cost of 1 sticker and 1 bead = $14.30
(b)
4 stickers + 3 beads = 51.70 --- (2)
(4)
x 3 3 stickers + 3 beads = 3 x 14.30 = 42.90 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 51.70 - 42.90
4 stickers - 3 stickers + 3 beads - 3 beads = 8.80
1 sticker = 8.80
Cost of 1 sticker = $8.80
(c)
Substitute 1 sticker = 8.80 into (4).
1 sticker + 1 bead = 14.30
8.80 + 1 bead = 14.30
1 bead = 14.30 - 8.80 = 5.50
Cost of 1 bead = $5.50
Answer(s): (a) $14.30; (b) $8.80; (c) $5.50