2 beads and 1 sticker cost $9.30.
1 bead and 2 stickers cost $7.20.
- 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 5 beads and 5 stickers.
(a)
2 beads + 1 sticker = 9.30 --- (1)
1 bead + 2 stickers = 7.20 --- (2)
(1) + (2)
3 beads + 3 stickers = 9.30 + 7.20
3 beads + 3 stickers = 16.50 --- (3)
(3)
÷ 3
3 beads + 3 stickers = 16.50
1 bead + 1 sticker = 16.50 ÷ 3
1 bead + 1 sticker = 5.50 --- (4)
Cost of 1 bead and 1 sticker = $5.50
(b)
(2) - (4)
(1 bead + 2 stickers) - (1 bead + 1 marble) = 7.20 - 5.50
1 bead - 1 bead + 2 stickers - 1 sticker = 1.70
1 sticker = 1.70
Cost of 1 sticker = $1.70
(c)
Substitute 1 sticker = 1.70 into (4).
1 bead + 1 sticker = 5.50
1 bead + 1.70 = 5.50
1 bead = 5.50 - 1.70 = 3.80
Cost of 1 bead = $3.80
(d)
(4)
x 5 1 bead + 1 sticker = 5.50
5 x (1 bead + 1 marble) = 5 x 5.50
5 beads + 5 stickers = 27.50
Cost of 5 beads and 5 stickers = $27.50
Answer(s): (a) $5.50; (b) $1.70; (c) $3.80; (d) $27.50