5 beads and 1 sticker cost $18.20.
1 bead and 5 stickers cost $26.20.
- 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)
5 beads + 1 sticker = 18.20 --- (1)
1 bead + 5 stickers = 26.20 --- (2)
(1) + (2)
6 beads + 6 stickers = 18.20 + 26.20
6 beads + 6 stickers = 44.40 --- (3)
(3)
÷ 66 beads + 6 stickers = 44.40
1 bead + 1 sticker = 44.40 ÷ 6
1 bead + 1 sticker = 7.40 --- (4)
(b)
(2) - (4)
(1 bead + 5 stickers) - (1 bead + 1 marble) = 26.20 - 7.40
1 bead - 1 bead + 5 stickers - 1 sticker = 18.80
4 stickers = 18.80
1 sticker = 18.80 ÷ 4 = 4.70
Cost of 1 sticker = $4.70
(c)
Substitute 1 sticker = 4.70 into (4).
1 bead + 1 sticker = 7.40
1 bead + 4.70 = 7.40
1 bead = 7.40 - 4.70 = 2.70
Cost of 1 bead = $2.70
(d)
(4)
x 8 1 bead + 1 sticker = 7.40
8 x (1 bead + 1 marble) = 8 x 7.40
8 beads + 8 stickers = 59.20
Cost of 8 beads and 8 stickers = $59.20
Answer(s): (a) $7.40; (b) $4.70; (c) $2.70; (d) $59.20