If Adam buys 2 beads and 3 stickers, it costs $25.70.
If Adam buys 3 beads and 2 stickers, he will need another $4.10.
- 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 = 25.70 --- (1)
3 beads + 2 stickers = 25.70 + 4.10 = 29.80 --- (2)
(1) + (2)
5 beads + 5 stickers = 55.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 55.50 ÷ 5 = 11.10 --- (4)
Cost of 1 bead and 1 sticker = $11.10
(b)
3 beads + 2 stickers = 29.80 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 11.10 = 22.20 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 29.80 - 22.20
3 beads - 2 beads + 2 stickers - 2 stickers = 7.60
1 bead = 7.60
Cost of 1 bead = $7.60
(c)
Substitute 1 bead = 7.60 into (4).
1 bead + 1 sticker = 11.10
7.60 + 1 sticker = 11.10
1 sticker = 11.10 - 7.60 = 3.50
Cost of 1 sticker = $3.50
Answer(s): (a) $11.10; (b) $7.60; (c) $3.50