If Adam buys 2 beads and 3 stickers, it costs $34.10.
If Adam buys 3 beads and 2 stickers, he will need another $3.30.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
2 beads + 3 stickers = 34.10 --- (1)
3 beads + 2 stickers = 34.10 + 3.30 = 37.40 --- (2)
(1) + (2)
5 beads + 5 stickers = 71.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 71.50 ÷ 5 = 14.30 --- (4)
Cost of 1 bead and 1 sticker = $14.30
(b)
3 beads + 2 stickers = 37.40 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 14.30 = 28.60 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 37.40 - 28.60
3 beads - 2 beads + 2 stickers - 2 stickers = 8.80
1 bead = 8.80
Cost of 1 bead = $8.80
(c)
Substitute 1 bead = 8.80 into (4).
1 bead + 1 sticker = 14.30
8.80 + 1 sticker = 14.30
1 sticker = 14.30 - 8.80 = 5.50
Cost of 1 sticker = $5.50
Answer(s): (a) $14.30; (b) $8.80; (c) $5.50