If Adam buys 2 stickers and 3 beads, it costs $35.30.
If Adam buys 3 stickers and 2 beads, he will have $6.10 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
2 stickers + 3 beads = 35.30 --- (1)
3 stickers + 2 beads = 35.30 - 6.10 = 29.20 --- (2)
(1) + (2)
5 stickers + 5 beads = 64.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 64.50 ÷ 5 = 12.90 --- (4)
Cost of 1 sticker and 1 bead = $12.90
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 12.90 = 25.80 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 29.20 - 25.80
3 stickers - 2 stickers - 2 beads + 2 beads = 3.40
1 sticker = 3.40
Cost of 1 sticker = $3.40
(c)
Substitute 1 sticker = 3.40 into (4).
1 sticker + 1 bead = 12.90
3.40 + 1 bead = 12.90
1 bead = 12.90 - 3.40 = 9.50
Cost of 1 bead = $9.50
Answer(s): (a) $12.90; (b) $3.40; (c) $9.50