If Adam buys 5 stickers and 6 beads, it costs $57.40.
If Adam buys 6 stickers and 5 beads, he will have $70 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 = 57.40 --- (1)
6 stickers + 5 beads = 57.40 - 70 = 50.40 --- (2)
(1) + (2)
11 stickers + 11 beads = 107.80 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 107.80 ÷ 11 = 9.80 --- (4)
Cost of 1 sticker and 1 bead = $9.80
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 9.80 = 490 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 50.40 - 490
6 stickers - 5 stickers - 5 beads + 5 beads = 1.40
1 sticker = 1.40
Cost of 1 sticker = $1.40
(c)
Substitute 1 sticker = 1.40 into (4).
1 sticker + 1 bead = 9.80
1.40 + 1 bead = 9.80
1 bead = 9.80 - 1.40 = 8.40
Cost of 1 bead = $8.40
Answer(s): (a) $9.80; (b) $1.40; (c) $8.40