If Adam buys 5 stickers and 6 beads, it costs $53.80.
If Adam buys 6 stickers and 5 beads, he will have $4.20 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 = 53.80 --- (1)
6 stickers + 5 beads = 53.80 - 4.20 = 49.60 --- (2)
(1) + (2)
11 stickers + 11 beads = 103.40 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 103.40 ÷ 11 = 9.40 --- (4)
Cost of 1 sticker and 1 bead = $9.40
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 9.40 = 470 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 49.60 - 470
6 stickers - 5 stickers - 5 beads + 5 beads = 2.60
1 sticker = 2.60
Cost of 1 sticker = $2.60
(c)
Substitute 1 sticker = 2.60 into (4).
1 sticker + 1 bead = 9.40
2.60 + 1 bead = 9.40
1 bead = 9.40 - 2.60 = 6.80
Cost of 1 bead = $6.80
Answer(s): (a) $9.40; (b) $2.60; (c) $6.80