3 beads and 1 sticker cost $13.30.
1 bead and 3 stickers cost $13.50.
- 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)
3 beads + 1 sticker = 13.30 --- (1)
1 bead + 3 stickers = 13.50 --- (2)
(1) + (2)
4 beads + 4 stickers = 13.30 + 13.50
4 beads + 4 stickers = 26.80 --- (3)
(3)
÷ 44 beads + 4 stickers = 26.80
1 bead + 1 sticker = 26.80 ÷ 4
1 bead + 1 sticker = 6.70 --- (4)
(b)
(2) - (4)
(1 bead + 3 stickers) - (1 bead + 1 marble) = 13.50 - 6.70
1 bead - 1 bead + 3 stickers - 1 sticker = 6.80
2 stickers = 6.80
1 sticker = 6.80 ÷ 2 = 3.40
Cost of 1 sticker = $3.40
(c)
Substitute 1 sticker = 3.40 into (4).
1 bead + 1 sticker = 6.70
1 bead + 3.40 = 6.70
1 bead = 6.70 - 3.40 = 3.30
Cost of 1 bead = $3.30
(d)
(4)
x 6 1 bead + 1 sticker = 6.70
6 x (1 bead + 1 marble) = 6 x 6.70
6 beads + 6 stickers = 40.20
Cost of 6 beads and 6 stickers = $40.20
Answer(s): (a) $6.70; (b) $3.40; (c) $3.30; (d) $40.20