If Adam buys 3 beads and 4 stickers, it costs $45.30.
If Adam buys 4 beads and 3 stickers, he will need another $1.80.
- 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 = 45.30 --- (1)
4 beads + 3 stickers = 45.30 + 1.80 = 47.10 --- (2)
(1) + (2)
7 beads + 7 stickers = 92.40 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 92.40 ÷ 7 = 13.20 --- (4)
Cost of 1 bead and 1 sticker = $13.20
(b)
4 beads + 3 stickers = 47.10 --- (2)
(4)
x 3 3 beads + 3 stickers = 3 x 13.20 = 39.60 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 47.10 - 39.60
4 beads - 3 beads + 3 stickers - 3 stickers = 7.50
1 bead = 7.50
Cost of 1 bead = $7.50
(c)
Substitute 1 bead = 7.50 into (4).
1 bead + 1 sticker = 13.20
7.50 + 1 sticker = 13.20
1 sticker = 13.20 - 7.50 = 5.70
Cost of 1 sticker = $5.70
Answer(s): (a) $13.20; (b) $7.50; (c) $5.70