If Adam buys 5 beads and 6 stickers, it costs $80.10.
If Adam buys 6 beads and 5 stickers, he will have $40 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
5 beads + 6 stickers = 80.10 --- (1)
6 beads + 5 stickers = 80.10 - 40 = 76.10 --- (2)
(1) + (2)
11 beads + 11 stickers = 156.20 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 156.20 ÷ 11 = 14.20 --- (4)
Cost of 1 bead and 1 sticker = $14.20
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 14.20 = 710 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 76.10 - 710
6 beads - 5 beads - 5 stickers + 5 stickers = 5.10
1 bead = 5.10
Cost of 1 bead = $5.10
(c)
Substitute 1 bead = 5.10 into (4).
1 bead + 1 sticker = 14.20
5.10 + 1 sticker = 14.20
1 sticker = 14.20 - 5.10 = 9.10
Cost of 1 sticker = $9.10
Answer(s): (a) $14.20; (b) $5.10; (c) $9.10