If Adam buys 3 stickers and 4 beads, it costs $52.70.
If Adam buys 4 stickers and 3 beads, he will have $3.20 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 = 52.70 --- (1)
4 stickers + 3 beads = 52.70 - 3.20 = 49.50 --- (2)
(1) + (2)
7 stickers + 7 beads = 102.20 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 102.20 ÷ 7 = 14.60 --- (4)
Cost of 1 sticker and 1 bead = $14.60
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 14.60 = 43.80 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 49.50 - 43.80
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 = 14.60
5.70 + 1 bead = 14.60
1 bead = 14.60 - 5.70 = 8.90
Cost of 1 bead = $8.90
Answer(s): (a) $14.60; (b) $5.70; (c) $8.90