If Adam buys 5 stickers and 6 beads, it costs $54.80.
If Adam buys 6 stickers and 5 beads, he will have $5.10 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
5 stickers + 6 beads = 54.80 --- (1)
6 stickers + 5 beads = 54.80 - 5.10 = 49.70 --- (2)
(1) + (2)
11 stickers + 11 beads = 104.50 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 104.50 ÷ 11 = 9.50 --- (4)
Cost of 1 sticker and 1 bead = $9.50
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 9.50 = 47.50 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 49.70 - 47.50
6 stickers - 5 stickers - 5 beads + 5 beads = 2.20
1 sticker = 2.20
Cost of 1 sticker = $2.20
(c)
Substitute 1 sticker = 2.20 into (4).
1 sticker + 1 bead = 9.50
2.20 + 1 bead = 9.50
1 bead = 9.50 - 2.20 = 7.30
Cost of 1 bead = $7.30
Answer(s): (a) $9.50; (b) $2.20; (c) $7.30