If Adam buys 2 beads and 3 stickers, it costs $25.50.
If Adam buys 3 beads and 2 stickers, he will need another $3.50.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
2 beads + 3 stickers = 25.50 --- (1)
3 beads + 2 stickers = 25.50 + 3.50 = 290 --- (2)
(1) + (2)
5 beads + 5 stickers = 54.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 54.50 ÷ 5 = 10.90 --- (4)
Cost of 1 bead and 1 sticker = $10.90
(b)
3 beads + 2 stickers = 290 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 10.90 = 21.80 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 290 - 21.80
3 beads - 2 beads + 2 stickers - 2 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 = 10.90
7.20 + 1 sticker = 10.90
1 sticker = 10.90 - 7.20 = 3.70
Cost of 1 sticker = $3.70
Answer(s): (a) $10.90; (b) $7.20; (c) $3.70