If Adam buys 5 stickers and 6 beads, it costs $64.30.
If Adam buys 6 stickers and 5 beads, he will have $3.20 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 = 64.30 --- (1)
6 stickers + 5 beads = 64.30 - 3.20 = 61.10 --- (2)
(1) + (2)
11 stickers + 11 beads = 125.40 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 125.40 ÷ 11 = 11.40 --- (4)
Cost of 1 sticker and 1 bead = $11.40
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 11.40 = 570 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 61.10 - 570
6 stickers - 5 stickers - 5 beads + 5 beads = 4.10
1 sticker = 4.10
Cost of 1 sticker = $4.10
(c)
Substitute 1 sticker = 4.10 into (4).
1 sticker + 1 bead = 11.40
4.10 + 1 bead = 11.40
1 bead = 11.40 - 4.10 = 7.30
Cost of 1 bead = $7.30
Answer(s): (a) $11.40; (b) $4.10; (c) $7.30