If Adam buys 4 beads and 5 stickers, it costs $49.80.
If Adam buys 5 beads and 4 stickers, he will have $4.20 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 = 49.80 --- (1)
5 beads + 4 stickers = 49.80 - 4.20 = 45.60 --- (2)
(1) + (2)
9 beads + 9 stickers = 95.40 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 95.40 ÷ 9 = 10.60 --- (4)
Cost of 1 bead and 1 sticker = $10.60
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 10.60 = 42.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 45.60 - 42.40
5 beads - 4 beads - 4 stickers + 4 stickers = 3.20
1 bead = 3.20
Cost of 1 bead = $3.20
(c)
Substitute 1 bead = 3.20 into (4).
1 bead + 1 sticker = 10.60
3.20 + 1 sticker = 10.60
1 sticker = 10.60 - 3.20 = 7.40
Cost of 1 sticker = $7.40
Answer(s): (a) $10.60; (b) $3.20; (c) $7.40