If Adam buys 4 beads and 5 stickers, it costs $44.80.
If Adam buys 5 beads and 4 stickers, he will have $5.90 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
4 beads + 5 stickers = 44.80 --- (1)
5 beads + 4 stickers = 44.80 - 5.90 = 38.90 --- (2)
(1) + (2)
9 beads + 9 stickers = 83.70 --- (3)
(3)
÷ 9 1 bead + 1 sticker = 83.70 ÷ 9 = 9.30 --- (4)
Cost of 1 bead and 1 sticker = $9.30
(b)
(4)
x 4 4 beads + 4 stickers = 4 x 9.30 = 37.20 --- (5)
(2) - (5)
5 beads + 4 stickers - 4 beads - 4 stickers = 38.90 - 37.20
5 beads - 4 beads - 4 stickers + 4 stickers = 1.70
1 bead = 1.70
Cost of 1 bead = $1.70
(c)
Substitute 1 bead = 1.70 into (4).
1 bead + 1 sticker = 9.30
1.70 + 1 sticker = 9.30
1 sticker = 9.30 - 1.70 = 7.60
Cost of 1 sticker = $7.60
Answer(s): (a) $9.30; (b) $1.70; (c) $7.60