If Adam buys 3 stickers and 4 beads, it costs $45.90.
If Adam buys 4 stickers and 3 beads, he will need another $2.70.
- 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 = 45.90 --- (1)
4 stickers + 3 beads = 45.90 + 2.70 = 48.60 --- (2)
(1) + (2)
7 stickers + 7 beads = 94.50 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 94.50 ÷ 7 = 13.50 --- (4)
Cost of 1 sticker and 1 bead = $13.50
(b)
4 stickers + 3 beads = 48.60 --- (2)
(4)
x 3 3 stickers + 3 beads = 3 x 13.50 = 40.50 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 48.60 - 40.50
4 stickers - 3 stickers + 3 beads - 3 beads = 8.10
1 sticker = 8.10
Cost of 1 sticker = $8.10
(c)
Substitute 1 sticker = 8.10 into (4).
1 sticker + 1 bead = 13.50
8.10 + 1 bead = 13.50
1 bead = 13.50 - 8.10 = 5.40
Cost of 1 bead = $5.40
Answer(s): (a) $13.50; (b) $8.10; (c) $5.40