If Adam buys 4 beads and 5 stickers, it costs $70.20.
If Adam buys 5 beads and 4 stickers, he will have $3.60 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 = 70.20 --- (1)
5 beads + 4 stickers = 70.20 - 3.60 = 66.60 --- (2)
(1) + (2)
9 beads + 9 stickers = 136.80 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 136.80 ÷ 9 = 15.20 --- (4)
Cost of 1 bead and 1 sticker = $15.20
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 15.20 = 60.80 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 66.60 - 60.80
5 beads - 4 beads - 4 stickers + 4 stickers = 5.80
1 bead = 5.80
Cost of 1 bead = $5.80
(c)
Substitute 1 bead = 5.80 into (4).
1 bead + 1 sticker = 15.20
5.80 + 1 sticker = 15.20
1 sticker = 15.20 - 5.80 = 9.40
Cost of 1 sticker = $9.40
Answer(s): (a) $15.20; (b) $5.80; (c) $9.40