If Adam buys 4 stickers and 5 beads, it costs $47.80.
If Adam buys 5 stickers and 4 beads, he will have $2.90 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
4 stickers + 5 beads = 47.80 --- (1)
5 stickers + 4 beads = 47.80 - 2.90 = 44.90 --- (2)
(1) + (2)
9 stickers + 9 beads = 92.70 --- (3)
(3)
÷ 9 1 sticker + 1 bead = 92.70 ÷ 9 = 10.30 --- (4)
Cost of 1 sticker and 1 bead = $10.30
(b)
(4)
x 4 4 stickers + 4 beads = 4 x 10.30 = 41.20 --- (5)
(2) - (5)
5 stickers + 4 beads - 4 stickers - 4 beads = 44.90 - 41.20
5 stickers - 4 stickers - 4 beads + 4 beads = 3.70
1 sticker = 3.70
Cost of 1 sticker = $3.70
(c)
Substitute 1 sticker = 3.70 into (4).
1 sticker + 1 bead = 10.30
3.70 + 1 bead = 10.30
1 bead = 10.30 - 3.70 = 6.60
Cost of 1 bead = $6.60
Answer(s): (a) $10.30; (b) $3.70; (c) $6.60