If Adam buys 3 beads and 4 stickers, it costs $380.
If Adam buys 4 beads and 3 stickers, he will need another $3.10.
- 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 = 380 --- (1)
4 beads + 3 stickers = 380 + 3.10 = 41.10 --- (2)
(1) + (2)
7 beads + 7 stickers = 79.10 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 79.10 ÷ 7 = 11.30 --- (4)
Cost of 1 bead and 1 sticker = $11.30
(b)
4 beads + 3 stickers = 41.10 --- (2)
(4)
x 3 3 beads + 3 stickers = 3 x 11.30 = 33.90 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 41.10 - 33.90
4 beads - 3 beads + 3 stickers - 3 stickers = 7.20
1 bead = 7.20
Cost of 1 bead = $7.20
(c)
Substitute 1 bead = 7.20 into (4).
1 bead + 1 sticker = 11.30
7.20 + 1 sticker = 11.30
1 sticker = 11.30 - 7.20 = 4.10
Cost of 1 sticker = $4.10
Answer(s): (a) $11.30; (b) $7.20; (c) $4.10