If Adam buys 2 beads and 3 stickers, it costs $30.90.
If Adam buys 3 beads and 2 stickers, he will have $3.30 left.
- 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 = 30.90 --- (1)
3 beads + 2 stickers = 30.90 - 3.30 = 27.60 --- (2)
(1) + (2)
5 beads + 5 stickers = 58.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 58.50 ÷ 5 = 11.70 --- (4)
Cost of 1 bead and 1 sticker = $11.70
(b)
(4)
x 2 2 beads + 2 stickers = 2 x 11.70 = 23.40 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 27.60 - 23.40
3 beads - 2 beads - 2 stickers + 2 stickers = 4.20
1 bead = 4.20
Cost of 1 bead = $4.20
(c)
Substitute 1 bead = 4.20 into (4).
1 bead + 1 sticker = 11.70
4.20 + 1 sticker = 11.70
1 sticker = 11.70 - 4.20 = 7.50
Cost of 1 sticker = $7.50
Answer(s): (a) $11.70; (b) $4.20; (c) $7.50