If Adam buys 4 beads and 5 stickers, it costs $46.20.
If Adam buys 5 beads and 4 stickers, he will have $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 = 46.20 --- (1)
5 beads + 4 stickers = 46.20 - 60 = 40.20 --- (2)
(1) + (2)
9 beads + 9 stickers = 86.40 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 86.40 ÷ 9 = 9.60 --- (4)
Cost of 1 bead and 1 sticker = $9.60
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 9.60 = 38.40 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 40.20 - 38.40
5 beads - 4 beads - 4 stickers + 4 stickers = 1.80
1 bead = 1.80
Cost of 1 bead = $1.80
(c)
Substitute 1 bead = 1.80 into (4).
1 bead + 1 sticker = 9.60
1.80 + 1 sticker = 9.60
1 sticker = 9.60 - 1.80 = 7.80
Cost of 1 sticker = $7.80
Answer(s): (a) $9.60; (b) $1.80; (c) $7.80