If Adam buys 2 stickers and 3 beads, it costs $34.90.
If Adam buys 3 stickers and 2 beads, he will have $2.30 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 = 34.90 --- (1)
3 stickers + 2 beads = 34.90 - 2.30 = 32.60 --- (2)
(1) + (2)
5 stickers + 5 beads = 67.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 67.50 ÷ 5 = 13.50 --- (4)
Cost of 1 sticker and 1 bead = $13.50
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 13.50 = 270 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 32.60 - 270
3 stickers - 2 stickers - 2 beads + 2 beads = 5.60
1 sticker = 5.60
Cost of 1 sticker = $5.60
(c)
Substitute 1 sticker = 5.60 into (4).
1 sticker + 1 bead = 13.50
5.60 + 1 bead = 13.50
1 bead = 13.50 - 5.60 = 7.90
Cost of 1 bead = $7.90
Answer(s): (a) $13.50; (b) $5.60; (c) $7.90