If Adam buys 2 stickers and 3 beads, it costs $320.
If Adam buys 3 stickers and 2 beads, he will need another $2.50.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
2 stickers + 3 beads = 320 --- (1)
3 stickers + 2 beads = 320 + 2.50 = 34.50 --- (2)
(1) + (2)
5 stickers + 5 beads = 66.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 66.50 ÷ 5 = 13.30 --- (4)
Cost of 1 sticker and 1 bead = $13.30
(b)
3 stickers + 2 beads = 34.50 --- (2)
(4)
x 2 2 stickers + 2 beads = 2 x 13.30 = 26.60 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 34.50 - 26.60
3 stickers - 2 stickers + 2 beads - 2 beads = 7.90
1 sticker = 7.90
Cost of 1 sticker = $7.90
(c)
Substitute 1 sticker = 7.90 into (4).
1 sticker + 1 bead = 13.30
7.90 + 1 bead = 13.30
1 bead = 13.30 - 7.90 = 5.40
Cost of 1 bead = $5.40
Answer(s): (a) $13.30; (b) $7.90; (c) $5.40