If Adam buys 2 stickers and 3 beads, it costs $31.80.
If Adam buys 3 stickers and 2 beads, he will have $1.10 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
2 stickers + 3 beads = 31.80 --- (1)
3 stickers + 2 beads = 31.80 - 1.10 = 30.70 --- (2)
(1) + (2)
5 stickers + 5 beads = 62.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 62.50 ÷ 5 = 12.50 --- (4)
Cost of 1 sticker and 1 bead = $12.50
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 12.50 = 250 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 30.70 - 250
3 stickers - 2 stickers - 2 beads + 2 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 = 12.50
5.70 + 1 bead = 12.50
1 bead = 12.50 - 5.70 = 6.80
Cost of 1 bead = $6.80
Answer(s): (a) $12.50; (b) $5.70; (c) $6.80