If Adam buys 3 stickers and 4 beads, it costs $36.30.
If Adam buys 4 stickers and 3 beads, he will have $40 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
3 stickers + 4 beads = 36.30 --- (1)
4 stickers + 3 beads = 36.30 - 40 = 32.30 --- (2)
(1) + (2)
7 stickers + 7 beads = 68.60 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 68.60 ÷ 7 = 9.80 --- (4)
Cost of 1 sticker and 1 bead = $9.80
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 9.80 = 29.40 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 32.30 - 29.40
4 stickers - 3 stickers - 3 beads + 3 beads = 2.90
1 sticker = 2.90
Cost of 1 sticker = $2.90
(c)
Substitute 1 sticker = 2.90 into (4).
1 sticker + 1 bead = 9.80
2.90 + 1 bead = 9.80
1 bead = 9.80 - 2.90 = 6.90
Cost of 1 bead = $6.90
Answer(s): (a) $9.80; (b) $2.90; (c) $6.90