2 beads and 1 sticker cost $11.20.
1 bead and 2 stickers cost $12.50.
- 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 4 beads and 4 stickers.
(a)
2 beads + 1 sticker = 11.20 --- (1)
1 bead + 2 stickers = 12.50 --- (2)
(1) + (2)
3 beads + 3 stickers = 11.20 + 12.50
3 beads + 3 stickers = 23.70 --- (3)
(3)
÷ 3
3 beads + 3 stickers = 23.70
1 bead + 1 sticker = 23.70 ÷ 3
1 bead + 1 sticker = 7.90 --- (4)
Cost of 1 bead and 1 sticker = $7.90
(b)
(2) - (4)
(1 bead + 2 stickers) - (1 bead + 1 marble) = 12.50 - 7.90
1 bead - 1 bead + 2 stickers - 1 sticker = 4.60
1 sticker = 4.60
Cost of 1 sticker = $4.60
(c)
Substitute 1 sticker = 4.60 into (4).
1 bead + 1 sticker = 7.90
1 bead + 4.60 = 7.90
1 bead = 7.90 - 4.60 = 3.30
Cost of 1 bead = $3.30
(d)
(4)
x 4 1 bead + 1 sticker = 7.90
4 x (1 bead + 1 marble) = 4 x 7.90
4 beads + 4 stickers = 31.60
Cost of 4 beads and 4 stickers = $31.60
Answer(s): (a) $7.90; (b) $4.60; (c) $3.30; (d) $31.60