If Adam buys 4 beads and 5 stickers, it costs $51.10.
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 = 51.10 --- (1)
5 beads + 4 stickers = 51.10 + 2.20 = 53.30 --- (2)
(1) + (2)
9 beads + 9 stickers = 104.40 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 104.40 ÷ 9 = 11.60 --- (4)
Cost of 1 bead and 1 sticker = $11.60
(b)
5 beads + 4 stickers = 53.30 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 11.60 = 46.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 53.30 - 46.40
5 beads - 4 beads + 4 stickers - 4 stickers = 6.90
1 bead = 6.90
Cost of 1 bead = $6.90
(c)
Substitute 1 bead = 6.90 into (4).
1 bead + 1 sticker = 11.60
6.90 + 1 sticker = 11.60
1 sticker = 11.60 - 6.90 = 4.70
Cost of 1 sticker = $4.70
Answer(s): (a) $11.60; (b) $6.90; (c) $4.70