5 stickers and 1 bead cost $11.30.
1 sticker and 5 beads cost $13.30.
- 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)
5 stickers + 1 bead = 11.30 --- (1)
1 sticker + 5 beads = 13.30 --- (2)
(1) + (2)
6 stickers + 6 beads = 11.30 + 13.30
6 stickers + 6 beads = 24.60 --- (3)
(3)
÷ 66 stickers + 6 beads = 24.60
1 sticker + 1 bead = 24.60 ÷ 6
1 sticker + 1 bead = 4.10 --- (4)
(b)
(2) - (4)
(1 sticker + 5 beads) - (1 sticker + 1 marble) = 13.30 - 4.10
1 sticker - 1 sticker + 5 beads - 1 bead = 9.20
4 beads = 9.20
1 bead = 9.20 ÷ 4 = 2.30
Cost of 1 bead = $2.30
(c)
Substitute 1 bead = 2.30 into (4).
1 sticker + 1 bead = 4.10
1 sticker + 2.30 = 4.10
1 sticker = 4.10 - 2.30 = 1.80
Cost of 1 sticker = $1.80
(d)
(4)
x 8 1 sticker + 1 bead = 4.10
8 x (1 sticker + 1 marble) = 8 x 4.10
8 stickers + 8 beads = 32.80
Cost of 8 stickers and 8 beads = $32.80
Answer(s): (a) $4.10; (b) $2.30; (c) $1.80; (d) $32.80