4 beads and 1 sticker cost $10.70.
1 bead and 4 stickers cost $9.80.
- 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 5 beads and 5 stickers.
(a)
4 beads + 1 sticker = 10.70 --- (1)
1 bead + 4 stickers = 9.80 --- (2)
(1) + (2)
5 beads + 5 stickers = 10.70 + 9.80
5 beads + 5 stickers = 20.50 --- (3)
(3)
÷ 55 beads + 5 stickers = 20.50
1 bead + 1 sticker = 20.50 ÷ 5
1 bead + 1 sticker = 4.10 --- (4)
(b)
(2) - (4)
(1 bead + 4 stickers) - (1 bead + 1 marble) = 9.80 - 4.10
1 bead - 1 bead + 4 stickers - 1 sticker = 5.70
3 stickers = 5.70
1 sticker = 5.70 ÷ 3 = 1.90
Cost of 1 sticker = $1.90
(c)
Substitute 1 sticker = 1.90 into (4).
1 bead + 1 sticker = 4.10
1 bead + 1.90 = 4.10
1 bead = 4.10 - 1.90 = 2.20
Cost of 1 bead = $2.20
(d)
(4)
x 5 1 bead + 1 sticker = 4.10
5 x (1 bead + 1 marble) = 5 x 4.10
5 beads + 5 stickers = 20.50
Cost of 5 beads and 5 stickers = $20.50
Answer(s): (a) $4.10; (b) $1.90; (c) $2.20; (d) $20.50