If Adam buys 2 stickers and 3 beads, it costs $32.20.
If Adam buys 3 stickers and 2 beads, he will have $7.90 left.
- 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 = 32.20 --- (1)
3 stickers + 2 beads = 32.20 - 7.90 = 24.30 --- (2)
(1) + (2)
5 stickers + 5 beads = 56.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 56.50 ÷ 5 = 11.30 --- (4)
Cost of 1 sticker and 1 bead = $11.30
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 11.30 = 22.60 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 24.30 - 22.60
3 stickers - 2 stickers - 2 beads + 2 beads = 1.70
1 sticker = 1.70
Cost of 1 sticker = $1.70
(c)
Substitute 1 sticker = 1.70 into (4).
1 sticker + 1 bead = 11.30
1.70 + 1 bead = 11.30
1 bead = 11.30 - 1.70 = 9.60
Cost of 1 bead = $9.60
Answer(s): (a) $11.30; (b) $1.70; (c) $9.60