2 stickers and 1 bead cost $13.30.
1 sticker and 2 beads cost $12.50.
- 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 4 stickers and 4 beads.
(a)
2 stickers + 1 bead = 13.30 --- (1)
1 sticker + 2 beads = 12.50 --- (2)
(1) + (2)
3 stickers + 3 beads = 13.30 + 12.50
3 stickers + 3 beads = 25.80 --- (3)
(3)
÷ 3
3 stickers + 3 beads = 25.80
1 sticker + 1 bead = 25.80 ÷ 3
1 sticker + 1 bead = 8.60 --- (4)
Cost of 1 sticker and 1 bead = $8.60
(b)
(2) - (4)
(1 sticker + 2 beads) - (1 sticker + 1 marble) = 12.50 - 8.60
1 sticker - 1 sticker + 2 beads - 1 bead = 3.90
1 bead = 3.90
Cost of 1 bead = $3.90
(c)
Substitute 1 bead = 3.90 into (4).
1 sticker + 1 bead = 8.60
1 sticker + 3.90 = 8.60
1 sticker = 8.60 - 3.90 = 4.70
Cost of 1 sticker = $4.70
(d)
(4)
x 4 1 sticker + 1 bead = 8.60
4 x (1 sticker + 1 marble) = 4 x 8.60
4 stickers + 4 beads = 34.40
Cost of 4 stickers and 4 beads = $34.40
Answer(s): (a) $8.60; (b) $3.90; (c) $4.70; (d) $34.40