If Adam buys 3 stickers and 4 beads, it costs $49.40.
If Adam buys 4 stickers and 3 beads, he will have $4.30 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 = 49.40 --- (1)
4 stickers + 3 beads = 49.40 - 4.30 = 45.10 --- (2)
(1) + (2)
7 stickers + 7 beads = 94.50 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 94.50 ÷ 7 = 13.50 --- (4)
Cost of 1 sticker and 1 bead = $13.50
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 13.50 = 40.50 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 45.10 - 40.50
4 stickers - 3 stickers - 3 beads + 3 beads = 4.60
1 sticker = 4.60
Cost of 1 sticker = $4.60
(c)
Substitute 1 sticker = 4.60 into (4).
1 sticker + 1 bead = 13.50
4.60 + 1 bead = 13.50
1 bead = 13.50 - 4.60 = 8.90
Cost of 1 bead = $8.90
Answer(s): (a) $13.50; (b) $4.60; (c) $8.90