If Adam buys 3 beads and 4 stickers, it costs $39.30.
If Adam buys 4 beads and 3 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)
3 beads + 4 stickers = 39.30 --- (1)
4 beads + 3 stickers = 39.30 + 2.60 = 41.90 --- (2)
(1) + (2)
7 beads + 7 stickers = 81.20 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 81.20 ÷ 7 = 11.60 --- (4)
Cost of 1 bead and 1 sticker = $11.60
(b)
4 beads + 3 stickers = 41.90 --- (2)
(4)
x 3 3 beads + 3 stickers = 3 x 11.60 = 34.80 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 41.90 - 34.80
4 beads - 3 beads + 3 stickers - 3 stickers = 7.10
1 bead = 7.10
Cost of 1 bead = $7.10
(c)
Substitute 1 bead = 7.10 into (4).
1 bead + 1 sticker = 11.60
7.10 + 1 sticker = 11.60
1 sticker = 11.60 - 7.10 = 4.50
Cost of 1 sticker = $4.50
Answer(s): (a) $11.60; (b) $7.10; (c) $4.50