If Adam buys 4 beads and 5 stickers, it costs $45.70.
If Adam buys 5 beads and 4 stickers, he will need another $2.20.
- 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 = 45.70 --- (1)
5 beads + 4 stickers = 45.70 + 2.20 = 47.90 --- (2)
(1) + (2)
9 beads + 9 stickers = 93.60 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 93.60 ÷ 9 = 10.40 --- (4)
Cost of 1 bead and 1 sticker = $10.40
(b)
5 beads + 4 stickers = 47.90 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 10.40 = 41.60 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 47.90 - 41.60
5 beads - 4 beads + 4 stickers - 4 stickers = 6.30
1 bead = 6.30
Cost of 1 bead = $6.30
(c)
Substitute 1 bead = 6.30 into (4).
1 bead + 1 sticker = 10.40
6.30 + 1 sticker = 10.40
1 sticker = 10.40 - 6.30 = 4.10
Cost of 1 sticker = $4.10
Answer(s): (a) $10.40; (b) $6.30; (c) $4.10