If Adam buys 4 beads and 5 stickers, it costs $51.90.
If Adam buys 5 beads and 4 stickers, he will have $7.50 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 = 51.90 --- (1)
5 beads + 4 stickers = 51.90 - 7.50 = 44.40 --- (2)
(1) + (2)
9 beads + 9 stickers = 96.30 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 96.30 ÷ 9 = 10.70 --- (4)
Cost of 1 bead and 1 sticker = $10.70
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 10.70 = 42.80 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 44.40 - 42.80
5 beads - 4 beads - 4 stickers + 4 stickers = 1.60
1 bead = 1.60
Cost of 1 bead = $1.60
(c)
Substitute 1 bead = 1.60 into (4).
1 bead + 1 sticker = 10.70
1.60 + 1 sticker = 10.70
1 sticker = 10.70 - 1.60 = 9.10
Cost of 1 sticker = $9.10
Answer(s): (a) $10.70; (b) $1.60; (c) $9.10