If Adam buys 4 beads and 5 stickers, it costs $48.90.
If Adam buys 5 beads and 4 stickers, he will have $5.10 left.
- 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 = 48.90 --- (1)
5 beads + 4 stickers = 48.90 - 5.10 = 43.80 --- (2)
(1) + (2)
9 beads + 9 stickers = 92.70 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 92.70 ÷ 9 = 10.30 --- (4)
Cost of 1 bead and 1 sticker = $10.30
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 10.30 = 41.20 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 43.80 - 41.20
5 beads - 4 beads - 4 stickers + 4 stickers = 2.60
1 bead = 2.60
Cost of 1 bead = $2.60
(c)
Substitute 1 bead = 2.60 into (4).
1 bead + 1 sticker = 10.30
2.60 + 1 sticker = 10.30
1 sticker = 10.30 - 2.60 = 7.70
Cost of 1 sticker = $7.70
Answer(s): (a) $10.30; (b) $2.60; (c) $7.70