If Adam buys 3 stickers and 4 beads, it costs $55.90.
If Adam buys 4 stickers and 3 beads, he will have $40 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 = 55.90 --- (1)
4 stickers + 3 beads = 55.90 - 40 = 51.90 --- (2)
(1) + (2)
7 stickers + 7 beads = 107.80 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 107.80 ÷ 7 = 15.40 --- (4)
Cost of 1 sticker and 1 bead = $15.40
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 15.40 = 46.20 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 51.90 - 46.20
4 stickers - 3 stickers - 3 beads + 3 beads = 5.70
1 sticker = 5.70
Cost of 1 sticker = $5.70
(c)
Substitute 1 sticker = 5.70 into (4).
1 sticker + 1 bead = 15.40
5.70 + 1 bead = 15.40
1 bead = 15.40 - 5.70 = 9.70
Cost of 1 bead = $9.70
Answer(s): (a) $15.40; (b) $5.70; (c) $9.70