If Adam buys 4 beads and 5 stickers, it costs $41.90.
If Adam buys 5 beads and 4 stickers, he will need another $2.60.
- 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 = 41.90 --- (1)
5 beads + 4 stickers = 41.90 + 2.60 = 44.50 --- (2)
(1) + (2)
9 beads + 9 stickers = 86.40 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 86.40 ÷ 9 = 9.60 --- (4)
Cost of 1 bead and 1 sticker = $9.60
(b)
5 beads + 4 stickers = 44.50 --- (2)
(4)
x 4 4 beads + 4 stickers = 4 x 9.60 = 38.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 44.50 - 38.40
5 beads - 4 beads + 4 stickers - 4 stickers = 6.10
1 bead = 6.10
Cost of 1 bead = $6.10
(c)
Substitute 1 bead = 6.10 into (4).
1 bead + 1 sticker = 9.60
6.10 + 1 sticker = 9.60
1 sticker = 9.60 - 6.10 = 3.50
Cost of 1 sticker = $3.50
Answer(s): (a) $9.60; (b) $6.10; (c) $3.50