3 stickers and 1 bead cost $16.70.
1 sticker and 3 beads cost $12.50.
- 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)
3 stickers + 1 bead = 16.70 --- (1)
1 sticker + 3 beads = 12.50 --- (2)
(1) + (2)
4 stickers + 4 beads = 16.70 + 12.50
4 stickers + 4 beads = 29.20 --- (3)
(3)
÷ 44 stickers + 4 beads = 29.20
1 sticker + 1 bead = 29.20 ÷ 4
1 sticker + 1 bead = 7.30 --- (4)
(b)
(2) - (4)
(1 sticker + 3 beads) - (1 sticker + 1 marble) = 12.50 - 7.30
1 sticker - 1 sticker + 3 beads - 1 bead = 5.20
2 beads = 5.20
1 bead = 5.20 ÷ 2 = 2.60
Cost of 1 bead = $2.60
(c)
Substitute 1 bead = 2.60 into (4).
1 sticker + 1 bead = 7.30
1 sticker + 2.60 = 7.30
1 sticker = 7.30 - 2.60 = 4.70
Cost of 1 sticker = $4.70
(d)
(4)
x 5 1 sticker + 1 bead = 7.30
5 x (1 sticker + 1 marble) = 5 x 7.30
5 stickers + 5 beads = 36.50
Cost of 5 stickers and 5 beads = $36.50
Answer(s): (a) $7.30; (b) $2.60; (c) $4.70; (d) $36.50