If Adam buys 4 stickers and 5 beads, it costs $52.50.
If Adam buys 5 stickers and 4 beads, he will need another $1.20.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
4 stickers + 5 beads = 52.50 --- (1)
5 stickers + 4 beads = 52.50 + 1.20 = 53.70 --- (2)
(1) + (2)
9 stickers + 9 beads = 106.20 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 106.20 ÷ 9 = 11.80 --- (4)
Cost of 1 sticker and 1 bead = $11.80
(b)
5 stickers + 4 beads = 53.70 --- (2)
(4)
x 4 4 stickers + 4 beads = 4 x 11.80 = 47.20 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 53.70 - 47.20
5 stickers - 4 stickers + 4 beads - 4 beads = 6.50
1 sticker = 6.50
Cost of 1 sticker = $6.50
(c)
Substitute 1 sticker = 6.50 into (4).
1 sticker + 1 bead = 11.80
6.50 + 1 bead = 11.80
1 bead = 11.80 - 6.50 = 5.30
Cost of 1 bead = $5.30
Answer(s): (a) $11.80; (b) $6.50; (c) $5.30