If Adam buys 4 beads and 5 stickers, it costs $61.60.
If Adam buys 5 beads and 4 stickers, he will need another $3.70.
- 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 = 61.60 --- (1)
5 beads + 4 stickers = 61.60 + 3.70 = 65.30 --- (2)
(1) + (2)
9 beads + 9 stickers = 126.90 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 126.90 ÷ 9 = 14.10 --- (4)
Cost of 1 bead and 1 sticker = $14.10
(b)
5 beads + 4 stickers = 65.30 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 14.10 = 56.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 65.30 - 56.40
5 beads - 4 beads + 4 stickers - 4 stickers = 8.90
1 bead = 8.90
Cost of 1 bead = $8.90
(c)
Substitute 1 bead = 8.90 into (4).
1 bead + 1 sticker = 14.10
8.90 + 1 sticker = 14.10
1 sticker = 14.10 - 8.90 = 5.20
Cost of 1 sticker = $5.20
Answer(s): (a) $14.10; (b) $8.90; (c) $5.20