4 stickers and 1 bead cost $10.60.
1 sticker and 4 beads cost $7.90.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 5 stickers and 5 beads.
(a)
4 stickers + 1 bead = 10.60 --- (1)
1 sticker + 4 beads = 7.90 --- (2)
(1) + (2)
5 stickers + 5 beads = 10.60 + 7.90
5 stickers + 5 beads = 18.50 --- (3)
(3)
÷ 55 stickers + 5 beads = 18.50
1 sticker + 1 bead = 18.50 ÷ 5
1 sticker + 1 bead = 3.70 --- (4)
(b)
(2) - (4)
(1 sticker + 4 beads) - (1 sticker + 1 marble) = 7.90 - 3.70
1 sticker - 1 sticker + 4 beads - 1 bead = 4.20
3 beads = 4.20
1 bead = 4.20 ÷ 3 = 1.40
Cost of 1 bead = $1.40
(c)
Substitute 1 bead = 1.40 into (4).
1 sticker + 1 bead = 3.70
1 sticker + 1.40 = 3.70
1 sticker = 3.70 - 1.40 = 2.30
Cost of 1 sticker = $2.30
(d)
(4)
x 5 1 sticker + 1 bead = 3.70
5 x (1 sticker + 1 marble) = 5 x 3.70
5 stickers + 5 beads = 18.50
Cost of 5 stickers and 5 beads = $18.50
Answer(s): (a) $3.70; (b) $1.40; (c) $2.30; (d) $18.50