If Adam buys 4 beads and 5 stickers, it costs $59.80.
If Adam buys 5 beads and 4 stickers, he will need another $2.80.
- 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 = 59.80 --- (1)
5 beads + 4 stickers = 59.80 + 2.80 = 62.60 --- (2)
(1) + (2)
9 beads + 9 stickers = 122.40 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 122.40 ÷ 9 = 13.60 --- (4)
Cost of 1 bead and 1 sticker = $13.60
(b)
5 beads + 4 stickers = 62.60 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 13.60 = 54.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 62.60 - 54.40
5 beads - 4 beads + 4 stickers - 4 stickers = 8.20
1 bead = 8.20
Cost of 1 bead = $8.20
(c)
Substitute 1 bead = 8.20 into (4).
1 bead + 1 sticker = 13.60
8.20 + 1 sticker = 13.60
1 sticker = 13.60 - 8.20 = 5.40
Cost of 1 sticker = $5.40
Answer(s): (a) $13.60; (b) $8.20; (c) $5.40