If Adam buys 3 stickers and 4 beads, it costs $52.20.
If Adam buys 4 stickers and 3 beads, he will have $5.70 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 = 52.20 --- (1)
4 stickers + 3 beads = 52.20 - 5.70 = 46.50 --- (2)
(1) + (2)
7 stickers + 7 beads = 98.70 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 98.70 ÷ 7 = 14.10 --- (4)
Cost of 1 sticker and 1 bead = $14.10
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 14.10 = 42.30 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 46.50 - 42.30
4 stickers - 3 stickers - 3 beads + 3 beads = 4.20
1 sticker = 4.20
Cost of 1 sticker = $4.20
(c)
Substitute 1 sticker = 4.20 into (4).
1 sticker + 1 bead = 14.10
4.20 + 1 bead = 14.10
1 bead = 14.10 - 4.20 = 9.90
Cost of 1 bead = $9.90
Answer(s): (a) $14.10; (b) $4.20; (c) $9.90