5 stickers and 1 bead cost $18.20.
1 sticker and 5 beads cost $14.20.
- 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 6 stickers and 6 beads.
(a)
5 stickers + 1 bead = 18.20 --- (1)
1 sticker + 5 beads = 14.20 --- (2)
(1) + (2)
6 stickers + 6 beads = 18.20 + 14.20
6 stickers + 6 beads = 32.40 --- (3)
(3)
÷ 66 stickers + 6 beads = 32.40
1 sticker + 1 bead = 32.40 ÷ 6
1 sticker + 1 bead = 5.40 --- (4)
(b)
(2) - (4)
(1 sticker + 5 beads) - (1 sticker + 1 marble) = 14.20 - 5.40
1 sticker - 1 sticker + 5 beads - 1 bead = 8.80
4 beads = 8.80
1 bead = 8.80 ÷ 4 = 2.20
Cost of 1 bead = $2.20
(c)
Substitute 1 bead = 2.20 into (4).
1 sticker + 1 bead = 5.40
1 sticker + 2.20 = 5.40
1 sticker = 5.40 - 2.20 = 3.20
Cost of 1 sticker = $3.20
(d)
(4)
x 6 1 sticker + 1 bead = 5.40
6 x (1 sticker + 1 marble) = 6 x 5.40
6 stickers + 6 beads = 32.40
Cost of 6 stickers and 6 beads = $32.40
Answer(s): (a) $5.40; (b) $2.20; (c) $3.20; (d) $32.40