2 beads and 1 sticker cost $13.90.
1 bead and 2 stickers cost $13.70.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 6 beads and 6 stickers.
(a)
2 beads + 1 sticker = 13.90 --- (1)
1 bead + 2 stickers = 13.70 --- (2)
(1) + (2)
3 beads + 3 stickers = 13.90 + 13.70
3 beads + 3 stickers = 27.60 --- (3)
(3)
÷ 3
3 beads + 3 stickers = 27.60
1 bead + 1 sticker = 27.60 ÷ 3
1 bead + 1 sticker = 9.20 --- (4)
Cost of 1 bead and 1 sticker = $9.20
(b)
(2) - (4)
(1 bead + 2 stickers) - (1 bead + 1 marble) = 13.70 - 9.20
1 bead - 1 bead + 2 stickers - 1 sticker = 4.50
1 sticker = 4.50
Cost of 1 sticker = $4.50
(c)
Substitute 1 sticker = 4.50 into (4).
1 bead + 1 sticker = 9.20
1 bead + 4.50 = 9.20
1 bead = 9.20 - 4.50 = 4.70
Cost of 1 bead = $4.70
(d)
(4)
x 6 1 bead + 1 sticker = 9.20
6 x (1 bead + 1 marble) = 6 x 9.20
6 beads + 6 stickers = 55.20
Cost of 6 beads and 6 stickers = $55.20
Answer(s): (a) $9.20; (b) $4.50; (c) $4.70; (d) $55.20