If Adam buys 4 stickers and 5 beads, it costs $56.60.
If Adam buys 5 stickers and 4 beads, he will have $2.50 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 = 56.60 --- (1)
5 stickers + 4 beads = 56.60 - 2.50 = 54.10 --- (2)
(1) + (2)
9 stickers + 9 beads = 110.70 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 110.70 ÷ 9 = 12.30 --- (4)
Cost of 1 sticker and 1 bead = $12.30
(b)
(4)
x 4 4 stickers + 4 beads = 4 x 12.30 = 49.20 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 54.10 - 49.20
5 stickers - 4 stickers - 4 beads + 4 beads = 4.90
1 sticker = 4.90
Cost of 1 sticker = $4.90
(c)
Substitute 1 sticker = 4.90 into (4).
1 sticker + 1 bead = 12.30
4.90 + 1 bead = 12.30
1 bead = 12.30 - 4.90 = 7.40
Cost of 1 bead = $7.40
Answer(s): (a) $12.30; (b) $4.90; (c) $7.40