If Adam buys 2 stickers and 3 beads, it costs $37.10.
If Adam buys 3 stickers and 2 beads, he will have $3.70 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 = 37.10 --- (1)
3 stickers + 2 beads = 37.10 - 3.70 = 33.40 --- (2)
(1) + (2)
5 stickers + 5 beads = 70.50 --- (3)
(3)
÷ 5 1 sticker + 1 bead = 70.50 ÷ 5 = 14.10 --- (4)
Cost of 1 sticker and 1 bead = $14.10
(b)
(4)
x 2 2 stickers + 2 beads = 2 x 14.10 = 28.20 --- (5)
(2) - (5)
3 stickers + 2 beads - 2 stickers - 2 beads = 33.40 - 28.20
3 stickers - 2 stickers - 2 beads + 2 beads = 5.20
1 sticker = 5.20
Cost of 1 sticker = $5.20
(c)
Substitute 1 sticker = 5.20 into (4).
1 sticker + 1 bead = 14.10
5.20 + 1 bead = 14.10
1 bead = 14.10 - 5.20 = 8.90
Cost of 1 bead = $8.90
Answer(s): (a) $14.10; (b) $5.20; (c) $8.90