If Adam buys 4 stickers and 5 beads, it costs $51.10.
If Adam buys 5 stickers and 4 beads, he will need another $1.30.
- 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 = 51.10 --- (1)
5 stickers + 4 beads = 51.10 + 1.30 = 52.40 --- (2)
(1) + (2)
9 stickers + 9 beads = 103.50 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 103.50 ÷ 9 = 11.50 --- (4)
Cost of 1 sticker and 1 bead = $11.50
(b)
5 stickers + 4 beads = 52.40 --- (2)
(4)
x 4 4 stickers + 4 beads = 4 x 11.50 = 460 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 52.40 - 460
5 stickers - 4 stickers + 4 beads - 4 beads = 6.40
1 sticker = 6.40
Cost of 1 sticker = $6.40
(c)
Substitute 1 sticker = 6.40 into (4).
1 sticker + 1 bead = 11.50
6.40 + 1 bead = 11.50
1 bead = 11.50 - 6.40 = 5.10
Cost of 1 bead = $5.10
Answer(s): (a) $11.50; (b) $6.40; (c) $5.10