If Adam buys 2 stickers and 3 beads, it costs $27.20.
If Adam buys 3 stickers and 2 beads, he will have $4.90 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 = 27.20 --- (1)
3 stickers + 2 beads = 27.20 - 4.90 = 22.30 --- (2)
(1) + (2)
5 stickers + 5 beads = 49.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 49.50 ÷ 5 = 9.90 --- (4)
Cost of 1 sticker and 1 bead = $9.90
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 9.90 = 19.80 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 22.30 - 19.80
3 stickers - 2 stickers - 2 beads + 2 beads = 2.50
1 sticker = 2.50
Cost of 1 sticker = $2.50
(c)
Substitute 1 sticker = 2.50 into (4).
1 sticker + 1 bead = 9.90
2.50 + 1 bead = 9.90
1 bead = 9.90 - 2.50 = 7.40
Cost of 1 bead = $7.40
Answer(s): (a) $9.90; (b) $2.50; (c) $7.40