2 stickers and 1 bead cost $6.30.
1 sticker and 2 beads cost $9.30.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 8 stickers and 8 beads.
(a)
2 stickers + 1 bead = 6.30 --- (1)
1 sticker + 2 beads = 9.30 --- (2)
(1) + (2)
3 stickers + 3 beads = 6.30 + 9.30
3 stickers + 3 beads = 15.60 --- (3)
(3)
÷ 3
3 stickers + 3 beads = 15.60
1 sticker + 1 bead = 15.60 ÷ 3
1 sticker + 1 bead = 5.20 --- (4)
Cost of 1 sticker and 1 bead = $5.20
(b)
(2) - (4)
(1 sticker + 2 beads) - (1 sticker + 1 marble) = 9.30 - 5.20
1 sticker - 1 sticker + 2 beads - 1 bead = 4.10
1 bead = 4.10
Cost of 1 bead = $4.10
(c)
Substitute 1 bead = 4.10 into (4).
1 sticker + 1 bead = 5.20
1 sticker + 4.10 = 5.20
1 sticker = 5.20 - 4.10 = 1.10
Cost of 1 sticker = $1.10
(d)
(4)
x 8 1 sticker + 1 bead = 5.20
8 x (1 sticker + 1 marble) = 8 x 5.20
8 stickers + 8 beads = 41.60
Cost of 8 stickers and 8 beads = $41.60
Answer(s): (a) $5.20; (b) $4.10; (c) $1.10; (d) $41.60