2 beads and 1 sticker cost $9.60.
1 bead and 2 stickers cost $8.10.
- 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 8 beads and 8 stickers.
(a)
2 beads + 1 sticker = 9.60 --- (1)
1 bead + 2 stickers = 8.10 --- (2)
(1) + (2)
3 beads + 3 stickers = 9.60 + 8.10
3 beads + 3 stickers = 17.70 --- (3)
(3)
÷ 3
3 beads + 3 stickers = 17.70
1 bead + 1 sticker = 17.70 ÷ 3
1 bead + 1 sticker = 5.90 --- (4)
Cost of 1 bead and 1 sticker = $5.90
(b)
(2) - (4)
(1 bead + 2 stickers) - (1 bead + 1 marble) = 8.10 - 5.90
1 bead - 1 bead + 2 stickers - 1 sticker = 2.20
1 sticker = 2.20
Cost of 1 sticker = $2.20
(c)
Substitute 1 sticker = 2.20 into (4).
1 bead + 1 sticker = 5.90
1 bead + 2.20 = 5.90
1 bead = 5.90 - 2.20 = 3.70
Cost of 1 bead = $3.70
(d)
(4)
x 8 1 bead + 1 sticker = 5.90
8 x (1 bead + 1 marble) = 8 x 5.90
8 beads + 8 stickers = 47.20
Cost of 8 beads and 8 stickers = $47.20
Answer(s): (a) $5.90; (b) $2.20; (c) $3.70; (d) $47.20