If Adam buys 4 beads and 5 stickers, it costs $52.70.
If Adam buys 5 beads and 4 stickers, he will have $8.20 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
4 beads + 5 stickers = 52.70 --- (1)
5 beads + 4 stickers = 52.70 - 8.20 = 44.50 --- (2)
(1) + (2)
9 beads + 9 stickers = 97.20 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 97.20 ÷ 9 = 10.80 --- (4)
Cost of 1 bead and 1 sticker = $10.80
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 10.80 = 43.20 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 44.50 - 43.20
5 beads - 4 beads - 4 stickers + 4 stickers = 1.30
1 bead = 1.30
Cost of 1 bead = $1.30
(c)
Substitute 1 bead = 1.30 into (4).
1 bead + 1 sticker = 10.80
1.30 + 1 sticker = 10.80
1 sticker = 10.80 - 1.30 = 9.50
Cost of 1 sticker = $9.50
Answer(s): (a) $10.80; (b) $1.30; (c) $9.50