If Adam buys 4 stickers and 5 beads, it costs $54.90.
If Adam buys 5 stickers and 4 beads, he will have $8.10 left.
- 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 = 54.90 --- (1)
5 stickers + 4 beads = 54.90 - 8.10 = 46.80 --- (2)
(1) + (2)
9 stickers + 9 beads = 101.70 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 101.70 ÷ 9 = 11.30 --- (4)
Cost of 1 sticker and 1 bead = $11.30
(b)
(4)
x 4 4 stickers + 4 beads = 4 x 11.30 = 45.20 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 46.80 - 45.20
5 stickers - 4 stickers - 4 beads + 4 beads = 1.60
1 sticker = 1.60
Cost of 1 sticker = $1.60
(c)
Substitute 1 sticker = 1.60 into (4).
1 sticker + 1 bead = 11.30
1.60 + 1 bead = 11.30
1 bead = 11.30 - 1.60 = 9.70
Cost of 1 bead = $9.70
Answer(s): (a) $11.30; (b) $1.60; (c) $9.70