If Adam buys 2 beads and 3 stickers, it costs $26.10.
If Adam buys 3 beads and 2 stickers, he will need another $4.30.
- 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 = 26.10 --- (1)
3 beads + 2 stickers = 26.10 + 4.30 = 30.40 --- (2)
(1) + (2)
5 beads + 5 stickers = 56.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 56.50 ÷ 5 = 11.30 --- (4)
Cost of 1 bead and 1 sticker = $11.30
(b)
3 beads + 2 stickers = 30.40 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 11.30 = 22.60 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 30.40 - 22.60
3 beads - 2 beads + 2 stickers - 2 stickers = 7.80
1 bead = 7.80
Cost of 1 bead = $7.80
(c)
Substitute 1 bead = 7.80 into (4).
1 bead + 1 sticker = 11.30
7.80 + 1 sticker = 11.30
1 sticker = 11.30 - 7.80 = 3.50
Cost of 1 sticker = $3.50
Answer(s): (a) $11.30; (b) $7.80; (c) $3.50