If Adam buys 4 beads and 5 stickers, it costs $52.10.
If Adam buys 5 beads and 4 stickers, he will need another $4.70.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
4 beads + 5 stickers = 52.10 --- (1)
5 beads + 4 stickers = 52.10 + 4.70 = 56.80 --- (2)
(1) + (2)
9 beads + 9 stickers = 108.90 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 108.90 ÷ 9 = 12.10 --- (4)
Cost of 1 bead and 1 sticker = $12.10
(b)
5 beads + 4 stickers = 56.80 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 12.10 = 48.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 56.80 - 48.40
5 beads - 4 beads + 4 stickers - 4 stickers = 8.40
1 bead = 8.40
Cost of 1 bead = $8.40
(c)
Substitute 1 bead = 8.40 into (4).
1 bead + 1 sticker = 12.10
8.40 + 1 sticker = 12.10
1 sticker = 12.10 - 8.40 = 3.70
Cost of 1 sticker = $3.70
Answer(s): (a) $12.10; (b) $8.40; (c) $3.70