4 stickers and 1 bead cost $15.80.
1 sticker and 4 beads cost $13.70.
- 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 9 stickers and 9 beads.
(a)
4 stickers + 1 bead = 15.80 --- (1)
1 sticker + 4 beads = 13.70 --- (2)
(1) + (2)
5 stickers + 5 beads = 15.80 + 13.70
5 stickers + 5 beads = 29.50 --- (3)
(3)
÷ 55 stickers + 5 beads = 29.50
1 sticker + 1 bead = 29.50 ÷ 5
1 sticker + 1 bead = 5.90 --- (4)
(b)
(2) - (4)
(1 sticker + 4 beads) - (1 sticker + 1 marble) = 13.70 - 5.90
1 sticker - 1 sticker + 4 beads - 1 bead = 7.80
3 beads = 7.80
1 bead = 7.80 ÷ 3 = 2.60
Cost of 1 bead = $2.60
(c)
Substitute 1 bead = 2.60 into (4).
1 sticker + 1 bead = 5.90
1 sticker + 2.60 = 5.90
1 sticker = 5.90 - 2.60 = 3.30
Cost of 1 sticker = $3.30
(d)
(4)
x 9 1 sticker + 1 bead = 5.90
9 x (1 sticker + 1 marble) = 9 x 5.90
9 stickers + 9 beads = 53.10
Cost of 9 stickers and 9 beads = $53.10
Answer(s): (a) $5.90; (b) $2.60; (c) $3.30; (d) $53.10