2 stickers and 1 bead cost $7.60.
1 sticker and 2 beads cost $9.50.
- 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 6 stickers and 6 beads.
(a)
2 stickers + 1 bead = 7.60 --- (1)
1 sticker + 2 beads = 9.50 --- (2)
(1) + (2)
3 stickers + 3 beads = 7.60 + 9.50
3 stickers + 3 beads = 17.10 --- (3)
(3)
÷ 3
3 stickers + 3 beads = 17.10
1 sticker + 1 bead = 17.10 ÷ 3
1 sticker + 1 bead = 5.70 --- (4)
Cost of 1 sticker and 1 bead = $5.70
(b)
(2) - (4)
(1 sticker + 2 beads) - (1 sticker + 1 marble) = 9.50 - 5.70
1 sticker - 1 sticker + 2 beads - 1 bead = 3.80
1 bead = 3.80
Cost of 1 bead = $3.80
(c)
Substitute 1 bead = 3.80 into (4).
1 sticker + 1 bead = 5.70
1 sticker + 3.80 = 5.70
1 sticker = 5.70 - 3.80 = 1.90
Cost of 1 sticker = $1.90
(d)
(4)
x 6 1 sticker + 1 bead = 5.70
6 x (1 sticker + 1 marble) = 6 x 5.70
6 stickers + 6 beads = 34.20
Cost of 6 stickers and 6 beads = $34.20
Answer(s): (a) $5.70; (b) $3.80; (c) $1.90; (d) $34.20