If Adam buys 2 beads and 3 stickers, it costs $240.
If Adam buys 3 beads and 2 stickers, he will need another $2.50.
- 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 = 240 --- (1)
3 beads + 2 stickers = 240 + 2.50 = 26.50 --- (2)
(1) + (2)
5 beads + 5 stickers = 50.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 50.50 ÷ 5 = 10.10 --- (4)
Cost of 1 bead and 1 sticker = $10.10
(b)
3 beads + 2 stickers = 26.50 --- (2)
(4)
x 2 2 beads + 2 stickers = 2 x 10.10 = 20.20 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 26.50 - 20.20
3 beads - 2 beads + 2 stickers - 2 stickers = 6.30
1 bead = 6.30
Cost of 1 bead = $6.30
(c)
Substitute 1 bead = 6.30 into (4).
1 bead + 1 sticker = 10.10
6.30 + 1 sticker = 10.10
1 sticker = 10.10 - 6.30 = 3.80
Cost of 1 sticker = $3.80
Answer(s): (a) $10.10; (b) $6.30; (c) $3.80