If Adam buys 4 beads and 5 stickers, it costs $580.
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 = 580 --- (1)
5 beads + 4 stickers = 580 + 3.70 = 61.70 --- (2)
(1) + (2)
9 beads + 9 stickers = 119.70 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 119.70 ÷ 9 = 13.30 --- (4)
Cost of 1 bead and 1 sticker = $13.30
(b)
5 beads + 4 stickers = 61.70 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 13.30 = 53.20 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 61.70 - 53.20
5 beads - 4 beads + 4 stickers - 4 stickers = 8.50
1 bead = 8.50
Cost of 1 bead = $8.50
(c)
Substitute 1 bead = 8.50 into (4).
1 bead + 1 sticker = 13.30
8.50 + 1 sticker = 13.30
1 sticker = 13.30 - 8.50 = 4.80
Cost of 1 sticker = $4.80
Answer(s): (a) $13.30; (b) $8.50; (c) $4.80