If Adam buys 4 stickers and 5 beads, it costs $48.70.
If Adam buys 5 stickers and 4 beads, he will need another $3.40.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
4 stickers + 5 beads = 48.70 --- (1)
5 stickers + 4 beads = 48.70 + 3.40 = 52.10 --- (2)
(1) + (2)
9 stickers + 9 beads = 100.80 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 100.80 ÷ 9 = 11.20 --- (4)
Cost of 1 sticker and 1 bead = $11.20
(b)
5 stickers + 4 beads = 52.10 --- (2)
(4)
x 4 4 stickers + 4 beads = 4 x 11.20 = 44.80 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 52.10 - 44.80
5 stickers - 4 stickers + 4 beads - 4 beads = 7.30
1 sticker = 7.30
Cost of 1 sticker = $7.30
(c)
Substitute 1 sticker = 7.30 into (4).
1 sticker + 1 bead = 11.20
7.30 + 1 bead = 11.20
1 bead = 11.20 - 7.30 = 3.90
Cost of 1 bead = $3.90
Answer(s): (a) $11.20; (b) $7.30; (c) $3.90