If Adam buys 4 stickers and 5 beads, it costs $50.70.
If Adam buys 5 stickers and 4 beads, he will have $5.10 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 = 50.70 --- (1)
5 stickers + 4 beads = 50.70 - 5.10 = 45.60 --- (2)
(1) + (2)
9 stickers + 9 beads = 96.30 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 96.30 ÷ 9 = 10.70 --- (4)
Cost of 1 sticker and 1 bead = $10.70
(b)
(4)
x 4 4 stickers + 4 beads = 4 x 10.70 = 42.80 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 45.60 - 42.80
5 stickers - 4 stickers - 4 beads + 4 beads = 2.80
1 sticker = 2.80
Cost of 1 sticker = $2.80
(c)
Substitute 1 sticker = 2.80 into (4).
1 sticker + 1 bead = 10.70
2.80 + 1 bead = 10.70
1 bead = 10.70 - 2.80 = 7.90
Cost of 1 bead = $7.90
Answer(s): (a) $10.70; (b) $2.80; (c) $7.90